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Finding the Fourth Proportional to 8,325.71, 11,491.09 and 5,345.31

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Solution

The fourth proportional to 8,325.71, 11,491.09 and 5,345.31 is: 7,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.71 : 11,491.09 = 5,345.31 : x
  2. Step 2: Convert to fraction form
    8,325.71/11,491.09 = 5,345.31/x
  3. Step 3: Cross multiply
    8,325.71x = 11,491.09 × 5,345.31
  4. Step 4: Simplify right side
    8,325.71x = 61,423,468.02
  5. Step 5: Solve for x
    x = 61,423,468.02/8,325.71
  6. Step 6: Final answer
    x = 7,377.57

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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.