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Finding the Fourth Proportional to 10,542.87, 14,548.91 and 5,762.60

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Solution

The fourth proportional to 10,542.87, 14,548.91 and 5,762.60 is: 7,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.87 : 14,548.91 = 5,762.60 : x
  2. Step 2: Convert to fraction form
    10,542.87/14,548.91 = 5,762.60/x
  3. Step 3: Cross multiply
    10,542.87x = 14,548.91 × 5,762.60
  4. Step 4: Simplify right side
    10,542.87x = 83,839,447.21
  5. Step 5: Solve for x
    x = 83,839,447.21/10,542.87
  6. Step 6: Final answer
    x = 7,952.24

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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.