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Finding the Fourth Proportional to 10,347.16, 15,524.52 and 6,454.84

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Solution

The fourth proportional to 10,347.16, 15,524.52 and 6,454.84 is: 9,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.16 : 15,524.52 = 6,454.84 : x
  2. Step 2: Convert to fraction form
    10,347.16/15,524.52 = 6,454.84/x
  3. Step 3: Cross multiply
    10,347.16x = 15,524.52 × 6,454.84
  4. Step 4: Simplify right side
    10,347.16x = 100,208,292.68
  5. Step 5: Solve for x
    x = 100,208,292.68/10,347.16
  6. Step 6: Final answer
    x = 9,684.62

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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.