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Finding the Fourth Proportional to 10,314.30, 15,468.97 and 4,762.31

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Solution

The fourth proportional to 10,314.30, 15,468.97 and 4,762.31 is: 7,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.30 : 15,468.97 = 4,762.31 : x
  2. Step 2: Convert to fraction form
    10,314.30/15,468.97 = 4,762.31/x
  3. Step 3: Cross multiply
    10,314.30x = 15,468.97 × 4,762.31
  4. Step 4: Simplify right side
    10,314.30x = 73,668,030.52
  5. Step 5: Solve for x
    x = 73,668,030.52/10,314.30
  6. Step 6: Final answer
    x = 7,142.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.