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Finding the Fourth Proportional to 8,695.12, 12,004.40 and 5,716.16

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Solution

The fourth proportional to 8,695.12, 12,004.40 and 5,716.16 is: 7,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.12 : 12,004.40 = 5,716.16 : x
  2. Step 2: Convert to fraction form
    8,695.12/12,004.40 = 5,716.16/x
  3. Step 3: Cross multiply
    8,695.12x = 12,004.40 × 5,716.16
  4. Step 4: Simplify right side
    8,695.12x = 68,619,071.10
  5. Step 5: Solve for x
    x = 68,619,071.10/8,695.12
  6. Step 6: Final answer
    x = 7,891.68

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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.