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Finding the Fourth Proportional to 10,457.58, 14,337.89 and 10,270.47

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Solution

The fourth proportional to 10,457.58, 14,337.89 and 10,270.47 is: 14,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.58 : 14,337.89 = 10,270.47 : x
  2. Step 2: Convert to fraction form
    10,457.58/14,337.89 = 10,270.47/x
  3. Step 3: Cross multiply
    10,457.58x = 14,337.89 × 10,270.47
  4. Step 4: Simplify right side
    10,457.58x = 147,256,894.78
  5. Step 5: Solve for x
    x = 147,256,894.78/10,457.58
  6. Step 6: Final answer
    x = 14,081.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.