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Finding the Fourth Proportional to 8,369.80, 11,555.46 and 5,386.76

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Solution

The fourth proportional to 8,369.80, 11,555.46 and 5,386.76 is: 7,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.80 : 11,555.46 = 5,386.76 : x
  2. Step 2: Convert to fraction form
    8,369.80/11,555.46 = 5,386.76/x
  3. Step 3: Cross multiply
    8,369.80x = 11,555.46 × 5,386.76
  4. Step 4: Simplify right side
    8,369.80x = 62,246,489.71
  5. Step 5: Solve for x
    x = 62,246,489.71/8,369.80
  6. Step 6: Final answer
    x = 7,437.03

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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.