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Finding the Fourth Proportional to 8,345.75, 11,505.27 and 5,689.76

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Solution

The fourth proportional to 8,345.75, 11,505.27 and 5,689.76 is: 7,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.75 : 11,505.27 = 5,689.76 : x
  2. Step 2: Convert to fraction form
    8,345.75/11,505.27 = 5,689.76/x
  3. Step 3: Cross multiply
    8,345.75x = 11,505.27 × 5,689.76
  4. Step 4: Simplify right side
    8,345.75x = 65,462,225.04
  5. Step 5: Solve for x
    x = 65,462,225.04/8,345.75
  6. Step 6: Final answer
    x = 7,843.78

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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.