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Finding the Fourth Proportional to 10,052, 15,095.28 and 9,136.16

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Solution

The fourth proportional to 10,052, 15,095.28 and 9,136.16 is: 13,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052 : 15,095.28 = 9,136.16 : x
  2. Step 2: Convert to fraction form
    10,052/15,095.28 = 9,136.16/x
  3. Step 3: Cross multiply
    10,052x = 15,095.28 × 9,136.16
  4. Step 4: Simplify right side
    10,052x = 137,912,893.32
  5. Step 5: Solve for x
    x = 137,912,893.32/10,052
  6. Step 6: Final answer
    x = 13,719.95

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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.