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Finding the Fourth Proportional to 10,400.68, 14,352.58 and 5,685.16

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Solution

The fourth proportional to 10,400.68, 14,352.58 and 5,685.16 is: 7,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.68 : 14,352.58 = 5,685.16 : x
  2. Step 2: Convert to fraction form
    10,400.68/14,352.58 = 5,685.16/x
  3. Step 3: Cross multiply
    10,400.68x = 14,352.58 × 5,685.16
  4. Step 4: Simplify right side
    10,400.68x = 81,596,713.71
  5. Step 5: Solve for x
    x = 81,596,713.71/10,400.68
  6. Step 6: Final answer
    x = 7,845.32

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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.