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Finding the Fourth Proportional to 10,359.71, 14,291.63 and 6,107.87

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Solution

The fourth proportional to 10,359.71, 14,291.63 and 6,107.87 is: 8,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.71 : 14,291.63 = 6,107.87 : x
  2. Step 2: Convert to fraction form
    10,359.71/14,291.63 = 6,107.87/x
  3. Step 3: Cross multiply
    10,359.71x = 14,291.63 × 6,107.87
  4. Step 4: Simplify right side
    10,359.71x = 87,291,316.13
  5. Step 5: Solve for x
    x = 87,291,316.13/10,359.71
  6. Step 6: Final answer
    x = 8,426.04

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