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Finding the Fourth Proportional to 10,357.56, 14,291.10 and 8,685.72

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Solution

The fourth proportional to 10,357.56, 14,291.10 and 8,685.72 is: 11,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.56 : 14,291.10 = 8,685.72 : x
  2. Step 2: Convert to fraction form
    10,357.56/14,291.10 = 8,685.72/x
  3. Step 3: Cross multiply
    10,357.56x = 14,291.10 × 8,685.72
  4. Step 4: Simplify right side
    10,357.56x = 124,128,493.09
  5. Step 5: Solve for x
    x = 124,128,493.09/10,357.56
  6. Step 6: Final answer
    x = 11,984.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.