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Finding the Fourth Proportional to 11,087.38, 15,303.10 and 7,552

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Solution

The fourth proportional to 11,087.38, 15,303.10 and 7,552 is: 10,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,087.38 : 15,303.10 = 7,552 : x
  2. Step 2: Convert to fraction form
    11,087.38/15,303.10 = 7,552/x
  3. Step 3: Cross multiply
    11,087.38x = 15,303.10 × 7,552
  4. Step 4: Simplify right side
    11,087.38x = 115,569,011.20
  5. Step 5: Solve for x
    x = 115,569,011.20/11,087.38
  6. Step 6: Final answer
    x = 10,423.47

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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.