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Finding the Fourth Proportional to 11,518.47, 15,897.87 and 7,490.34

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Solution

The fourth proportional to 11,518.47, 15,897.87 and 7,490.34 is: 10,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.47 : 15,897.87 = 7,490.34 : x
  2. Step 2: Convert to fraction form
    11,518.47/15,897.87 = 7,490.34/x
  3. Step 3: Cross multiply
    11,518.47x = 15,897.87 × 7,490.34
  4. Step 4: Simplify right side
    11,518.47x = 119,080,451.58
  5. Step 5: Solve for x
    x = 119,080,451.58/11,518.47
  6. Step 6: Final answer
    x = 10,338.22

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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.