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Finding the Fourth Proportional to 10,435.71, 14,401.32 and 5,655.66

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Solution

The fourth proportional to 10,435.71, 14,401.32 and 5,655.66 is: 7,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.71 : 14,401.32 = 5,655.66 : x
  2. Step 2: Convert to fraction form
    10,435.71/14,401.32 = 5,655.66/x
  3. Step 3: Cross multiply
    10,435.71x = 14,401.32 × 5,655.66
  4. Step 4: Simplify right side
    10,435.71x = 81,448,948.26
  5. Step 5: Solve for x
    x = 81,448,948.26/10,435.71
  6. Step 6: Final answer
    x = 7,804.83

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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.