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Finding the Fourth Proportional to 11,518.61, 15,895.24 and 7,042.55

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Solution

The fourth proportional to 11,518.61, 15,895.24 and 7,042.55 is: 9,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.61 : 15,895.24 = 7,042.55 : x
  2. Step 2: Convert to fraction form
    11,518.61/15,895.24 = 7,042.55/x
  3. Step 3: Cross multiply
    11,518.61x = 15,895.24 × 7,042.55
  4. Step 4: Simplify right side
    11,518.61x = 111,942,925.38
  5. Step 5: Solve for x
    x = 111,942,925.38/11,518.61
  6. Step 6: Final answer
    x = 9,718.44

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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.