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Finding the Fourth Proportional to 8,564.28, 12,833.16 and 5,780.04

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Solution

The fourth proportional to 8,564.28, 12,833.16 and 5,780.04 is: 8,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.28 : 12,833.16 = 5,780.04 : x
  2. Step 2: Convert to fraction form
    8,564.28/12,833.16 = 5,780.04/x
  3. Step 3: Cross multiply
    8,564.28x = 12,833.16 × 5,780.04
  4. Step 4: Simplify right side
    8,564.28x = 74,176,178.13
  5. Step 5: Solve for x
    x = 74,176,178.13/8,564.28
  6. Step 6: Final answer
    x = 8,661.11

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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.