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Finding the Fourth Proportional to 8,299.53, 11,437.59 and 5,937.57

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Solution

The fourth proportional to 8,299.53, 11,437.59 and 5,937.57 is: 8,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.53 : 11,437.59 = 5,937.57 : x
  2. Step 2: Convert to fraction form
    8,299.53/11,437.59 = 5,937.57/x
  3. Step 3: Cross multiply
    8,299.53x = 11,437.59 × 5,937.57
  4. Step 4: Simplify right side
    8,299.53x = 67,911,491.26
  5. Step 5: Solve for x
    x = 67,911,491.26/8,299.53
  6. Step 6: Final answer
    x = 8,182.57

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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.