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Finding the Fourth Proportional to 10,084.16, 15,121.44 and 5,156

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Solution

The fourth proportional to 10,084.16, 15,121.44 and 5,156 is: 7,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.16 : 15,121.44 = 5,156 : x
  2. Step 2: Convert to fraction form
    10,084.16/15,121.44 = 5,156/x
  3. Step 3: Cross multiply
    10,084.16x = 15,121.44 × 5,156
  4. Step 4: Simplify right side
    10,084.16x = 77,966,144.64
  5. Step 5: Solve for x
    x = 77,966,144.64/10,084.16
  6. Step 6: Final answer
    x = 7,731.55

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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.