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Finding the Fourth Proportional to 10,097.84, 15,146.92 and 5,153.52

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Solution

The fourth proportional to 10,097.84, 15,146.92 and 5,153.52 is: 7,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.84 : 15,146.92 = 5,153.52 : x
  2. Step 2: Convert to fraction form
    10,097.84/15,146.92 = 5,153.52/x
  3. Step 3: Cross multiply
    10,097.84x = 15,146.92 × 5,153.52
  4. Step 4: Simplify right side
    10,097.84x = 78,059,955.16
  5. Step 5: Solve for x
    x = 78,059,955.16/10,097.84
  6. Step 6: Final answer
    x = 7,730.36

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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.