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Finding the Fourth Proportional to 10,279.47, 15,409.89 and 6,582.63

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Solution

The fourth proportional to 10,279.47, 15,409.89 and 6,582.63 is: 9,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.47 : 15,409.89 = 6,582.63 : x
  2. Step 2: Convert to fraction form
    10,279.47/15,409.89 = 6,582.63/x
  3. Step 3: Cross multiply
    10,279.47x = 15,409.89 × 6,582.63
  4. Step 4: Simplify right side
    10,279.47x = 101,437,604.21
  5. Step 5: Solve for x
    x = 101,437,604.21/10,279.47
  6. Step 6: Final answer
    x = 9,867.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.