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Finding the Fourth Proportional to 11,113.54, 15,337.10 and 6,077.46

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Solution

The fourth proportional to 11,113.54, 15,337.10 and 6,077.46 is: 8,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,113.54 : 15,337.10 = 6,077.46 : x
  2. Step 2: Convert to fraction form
    11,113.54/15,337.10 = 6,077.46/x
  3. Step 3: Cross multiply
    11,113.54x = 15,337.10 × 6,077.46
  4. Step 4: Simplify right side
    11,113.54x = 93,210,581.38
  5. Step 5: Solve for x
    x = 93,210,581.38/11,113.54
  6. Step 6: Final answer
    x = 8,387.12

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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.