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Finding the Fourth Proportional to 8,159.46, 12,239.46 and 5,004.24

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Solution

The fourth proportional to 8,159.46, 12,239.46 and 5,004.24 is: 7,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.46 : 12,239.46 = 5,004.24 : x
  2. Step 2: Convert to fraction form
    8,159.46/12,239.46 = 5,004.24/x
  3. Step 3: Cross multiply
    8,159.46x = 12,239.46 × 5,004.24
  4. Step 4: Simplify right side
    8,159.46x = 61,249,195.31
  5. Step 5: Solve for x
    x = 61,249,195.31/8,159.46
  6. Step 6: Final answer
    x = 7,506.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.