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Finding the Fourth Proportional to 7,592.60, 11,390.10 and 2,046.17

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Solution

The fourth proportional to 7,592.60, 11,390.10 and 2,046.17 is: 3,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.60 : 11,390.10 = 2,046.17 : x
  2. Step 2: Convert to fraction form
    7,592.60/11,390.10 = 2,046.17/x
  3. Step 3: Cross multiply
    7,592.60x = 11,390.10 × 2,046.17
  4. Step 4: Simplify right side
    7,592.60x = 23,306,013.74
  5. Step 5: Solve for x
    x = 23,306,013.74/7,592.60
  6. Step 6: Final answer
    x = 3,069.57

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Why These Related Problems?

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