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Finding the Fourth Proportional to 10,252.62, 15,378.93 and 7,916.04

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Solution

The fourth proportional to 10,252.62, 15,378.93 and 7,916.04 is: 11,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.62 : 15,378.93 = 7,916.04 : x
  2. Step 2: Convert to fraction form
    10,252.62/15,378.93 = 7,916.04/x
  3. Step 3: Cross multiply
    10,252.62x = 15,378.93 × 7,916.04
  4. Step 4: Simplify right side
    10,252.62x = 121,740,225.04
  5. Step 5: Solve for x
    x = 121,740,225.04/10,252.62
  6. Step 6: Final answer
    x = 11,874.06

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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.