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Finding the Fourth Proportional to 10,927.68, 15,080.16 and 6,211.95

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Solution

The fourth proportional to 10,927.68, 15,080.16 and 6,211.95 is: 8,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.68 : 15,080.16 = 6,211.95 : x
  2. Step 2: Convert to fraction form
    10,927.68/15,080.16 = 6,211.95/x
  3. Step 3: Cross multiply
    10,927.68x = 15,080.16 × 6,211.95
  4. Step 4: Simplify right side
    10,927.68x = 93,677,199.91
  5. Step 5: Solve for x
    x = 93,677,199.91/10,927.68
  6. Step 6: Final answer
    x = 8,572.47

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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.