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Finding the Fourth Proportional to 8,281.71, 11,426.78 and 5,597.93

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Solution

The fourth proportional to 8,281.71, 11,426.78 and 5,597.93 is: 7,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.71 : 11,426.78 = 5,597.93 : x
  2. Step 2: Convert to fraction form
    8,281.71/11,426.78 = 5,597.93/x
  3. Step 3: Cross multiply
    8,281.71x = 11,426.78 × 5,597.93
  4. Step 4: Simplify right side
    8,281.71x = 63,966,357.13
  5. Step 5: Solve for x
    x = 63,966,357.13/8,281.71
  6. Step 6: Final answer
    x = 7,723.81

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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.