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Finding the Fourth Proportional to 8,729.68, 12,048.52 and 5,585.76

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Solution

The fourth proportional to 8,729.68, 12,048.52 and 5,585.76 is: 7,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.68 : 12,048.52 = 5,585.76 : x
  2. Step 2: Convert to fraction form
    8,729.68/12,048.52 = 5,585.76/x
  3. Step 3: Cross multiply
    8,729.68x = 12,048.52 × 5,585.76
  4. Step 4: Simplify right side
    8,729.68x = 67,300,141.08
  5. Step 5: Solve for x
    x = 67,300,141.08/8,729.68
  6. Step 6: Final answer
    x = 7,709.35

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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.