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Finding the Fourth Proportional to 8,506.04, 12,758.24 and 2,959.16

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Solution

The fourth proportional to 8,506.04, 12,758.24 and 2,959.16 is: 4,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.04 : 12,758.24 = 2,959.16 : x
  2. Step 2: Convert to fraction form
    8,506.04/12,758.24 = 2,959.16/x
  3. Step 3: Cross multiply
    8,506.04x = 12,758.24 × 2,959.16
  4. Step 4: Simplify right side
    8,506.04x = 37,753,617.09
  5. Step 5: Solve for x
    x = 37,753,617.09/8,506.04
  6. Step 6: Final answer
    x = 4,438.45

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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.