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Finding the Fourth Proportional to 10,853.03, 16,282 and 3,457.91

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Solution

The fourth proportional to 10,853.03, 16,282 and 3,457.91 is: 5,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.03 : 16,282 = 3,457.91 : x
  2. Step 2: Convert to fraction form
    10,853.03/16,282 = 3,457.91/x
  3. Step 3: Cross multiply
    10,853.03x = 16,282 × 3,457.91
  4. Step 4: Simplify right side
    10,853.03x = 56,301,690.62
  5. Step 5: Solve for x
    x = 56,301,690.62/10,853.03
  6. Step 6: Final answer
    x = 5,187.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.