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Finding the Fourth Proportional to 8,720.64, 12,017.28 and 5,733.12

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Solution

The fourth proportional to 8,720.64, 12,017.28 and 5,733.12 is: 7,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.64 : 12,017.28 = 5,733.12 : x
  2. Step 2: Convert to fraction form
    8,720.64/12,017.28 = 5,733.12/x
  3. Step 3: Cross multiply
    8,720.64x = 12,017.28 × 5,733.12
  4. Step 4: Simplify right side
    8,720.64x = 68,896,508.31
  5. Step 5: Solve for x
    x = 68,896,508.31/8,720.64
  6. Step 6: Final answer
    x = 7,900.40

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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.