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Finding the Fourth Proportional to 10,344.16, 15,525.92 and 6,883.84

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Solution

The fourth proportional to 10,344.16, 15,525.92 and 6,883.84 is: 10,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.16 : 15,525.92 = 6,883.84 : x
  2. Step 2: Convert to fraction form
    10,344.16/15,525.92 = 6,883.84/x
  3. Step 3: Cross multiply
    10,344.16x = 15,525.92 × 6,883.84
  4. Step 4: Simplify right side
    10,344.16x = 106,877,949.13
  5. Step 5: Solve for x
    x = 106,877,949.13/10,344.16
  6. Step 6: Final answer
    x = 10,332.20

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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.