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Finding the Fourth Proportional to 10,915.16, 15,063 and 5,947.16

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Solution

The fourth proportional to 10,915.16, 15,063 and 5,947.16 is: 8,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.16 : 15,063 = 5,947.16 : x
  2. Step 2: Convert to fraction form
    10,915.16/15,063 = 5,947.16/x
  3. Step 3: Cross multiply
    10,915.16x = 15,063 × 5,947.16
  4. Step 4: Simplify right side
    10,915.16x = 89,582,071.08
  5. Step 5: Solve for x
    x = 89,582,071.08/10,915.16
  6. Step 6: Final answer
    x = 8,207.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.