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Finding the Fourth Proportional to 8,322.48, 12,479.04 and 3,641.76

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Solution

The fourth proportional to 8,322.48, 12,479.04 and 3,641.76 is: 5,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.48 : 12,479.04 = 3,641.76 : x
  2. Step 2: Convert to fraction form
    8,322.48/12,479.04 = 3,641.76/x
  3. Step 3: Cross multiply
    8,322.48x = 12,479.04 × 3,641.76
  4. Step 4: Simplify right side
    8,322.48x = 45,445,668.71
  5. Step 5: Solve for x
    x = 45,445,668.71/8,322.48
  6. Step 6: Final answer
    x = 5,460.59

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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.