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Finding the Fourth Proportional to 8,574.90, 12,891.15 and 7,307.70

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Solution

The fourth proportional to 8,574.90, 12,891.15 and 7,307.70 is: 10,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.90 : 12,891.15 = 7,307.70 : x
  2. Step 2: Convert to fraction form
    8,574.90/12,891.15 = 7,307.70/x
  3. Step 3: Cross multiply
    8,574.90x = 12,891.15 × 7,307.70
  4. Step 4: Simplify right side
    8,574.90x = 94,204,656.86
  5. Step 5: Solve for x
    x = 94,204,656.86/8,574.90
  6. Step 6: Final answer
    x = 10,986.09

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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.