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Finding the Fourth Proportional to 10,323.92, 15,470.76 and 6,416.48

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Solution

The fourth proportional to 10,323.92, 15,470.76 and 6,416.48 is: 9,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.92 : 15,470.76 = 6,416.48 : x
  2. Step 2: Convert to fraction form
    10,323.92/15,470.76 = 6,416.48/x
  3. Step 3: Cross multiply
    10,323.92x = 15,470.76 × 6,416.48
  4. Step 4: Simplify right side
    10,323.92x = 99,267,822.12
  5. Step 5: Solve for x
    x = 99,267,822.12/10,323.92
  6. Step 6: Final answer
    x = 9,615.32

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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.