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Finding the Fourth Proportional to 11,159.52, 15,402.88 and 6,446.56

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Solution

The fourth proportional to 11,159.52, 15,402.88 and 6,446.56 is: 8,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.52 : 15,402.88 = 6,446.56 : x
  2. Step 2: Convert to fraction form
    11,159.52/15,402.88 = 6,446.56/x
  3. Step 3: Cross multiply
    11,159.52x = 15,402.88 × 6,446.56
  4. Step 4: Simplify right side
    11,159.52x = 99,295,590.09
  5. Step 5: Solve for x
    x = 99,295,590.09/11,159.52
  6. Step 6: Final answer
    x = 8,897.84

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