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Finding the Fourth Proportional to 10,502.60, 14,483.84 and 7,665.47

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Solution

The fourth proportional to 10,502.60, 14,483.84 and 7,665.47 is: 10,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.60 : 14,483.84 = 7,665.47 : x
  2. Step 2: Convert to fraction form
    10,502.60/14,483.84 = 7,665.47/x
  3. Step 3: Cross multiply
    10,502.60x = 14,483.84 × 7,665.47
  4. Step 4: Simplify right side
    10,502.60x = 111,025,466.04
  5. Step 5: Solve for x
    x = 111,025,466.04/10,502.60
  6. Step 6: Final answer
    x = 10,571.24

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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.