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Finding the Fourth Proportional to 10,478.25, 14,460 and 5,762.43

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Solution

The fourth proportional to 10,478.25, 14,460 and 5,762.43 is: 7,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.25 : 14,460 = 5,762.43 : x
  2. Step 2: Convert to fraction form
    10,478.25/14,460 = 5,762.43/x
  3. Step 3: Cross multiply
    10,478.25x = 14,460 × 5,762.43
  4. Step 4: Simplify right side
    10,478.25x = 83,324,737.80
  5. Step 5: Solve for x
    x = 83,324,737.80/10,478.25
  6. Step 6: Final answer
    x = 7,952.16

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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.