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Finding the Fourth Proportional to 10,615.84, 15,929.28 and 5,932.96

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Solution

The fourth proportional to 10,615.84, 15,929.28 and 5,932.96 is: 8,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.84 : 15,929.28 = 5,932.96 : x
  2. Step 2: Convert to fraction form
    10,615.84/15,929.28 = 5,932.96/x
  3. Step 3: Cross multiply
    10,615.84x = 15,929.28 × 5,932.96
  4. Step 4: Simplify right side
    10,615.84x = 94,507,671.76
  5. Step 5: Solve for x
    x = 94,507,671.76/10,615.84
  6. Step 6: Final answer
    x = 8,902.52

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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.