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Finding the Fourth Proportional to 10,292.96, 15,425.76 and 5,612.96

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Solution

The fourth proportional to 10,292.96, 15,425.76 and 5,612.96 is: 8,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.96 : 15,425.76 = 5,612.96 : x
  2. Step 2: Convert to fraction form
    10,292.96/15,425.76 = 5,612.96/x
  3. Step 3: Cross multiply
    10,292.96x = 15,425.76 × 5,612.96
  4. Step 4: Simplify right side
    10,292.96x = 86,584,173.85
  5. Step 5: Solve for x
    x = 86,584,173.85/10,292.96
  6. Step 6: Final answer
    x = 8,411.98

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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.