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Finding the Fourth Proportional to 10,099.84, 15,132.28 and 7,883.04

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Solution

The fourth proportional to 10,099.84, 15,132.28 and 7,883.04 is: 11,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.84 : 15,132.28 = 7,883.04 : x
  2. Step 2: Convert to fraction form
    10,099.84/15,132.28 = 7,883.04/x
  3. Step 3: Cross multiply
    10,099.84x = 15,132.28 × 7,883.04
  4. Step 4: Simplify right side
    10,099.84x = 119,288,368.53
  5. Step 5: Solve for x
    x = 119,288,368.53/10,099.84
  6. Step 6: Final answer
    x = 11,810.92

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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.