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Finding the Fourth Proportional to 8,746.68, 13,098.72 and 5,783.28

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Solution

The fourth proportional to 8,746.68, 13,098.72 and 5,783.28 is: 8,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.68 : 13,098.72 = 5,783.28 : x
  2. Step 2: Convert to fraction form
    8,746.68/13,098.72 = 5,783.28/x
  3. Step 3: Cross multiply
    8,746.68x = 13,098.72 × 5,783.28
  4. Step 4: Simplify right side
    8,746.68x = 75,753,565.40
  5. Step 5: Solve for x
    x = 75,753,565.40/8,746.68
  6. Step 6: Final answer
    x = 8,660.84

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Why These Related Problems?

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