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Finding the Fourth Proportional to 11,377.76, 15,700.79 and 6,342.53

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Solution

The fourth proportional to 11,377.76, 15,700.79 and 6,342.53 is: 8,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.76 : 15,700.79 = 6,342.53 : x
  2. Step 2: Convert to fraction form
    11,377.76/15,700.79 = 6,342.53/x
  3. Step 3: Cross multiply
    11,377.76x = 15,700.79 × 6,342.53
  4. Step 4: Simplify right side
    11,377.76x = 99,582,621.38
  5. Step 5: Solve for x
    x = 99,582,621.38/11,377.76
  6. Step 6: Final answer
    x = 8,752.40

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Why These Related Problems?

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