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Finding the Fourth Proportional to 7,415.70, 11,123.55 and 4,659.90

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Solution

The fourth proportional to 7,415.70, 11,123.55 and 4,659.90 is: 6,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.70 : 11,123.55 = 4,659.90 : x
  2. Step 2: Convert to fraction form
    7,415.70/11,123.55 = 4,659.90/x
  3. Step 3: Cross multiply
    7,415.70x = 11,123.55 × 4,659.90
  4. Step 4: Simplify right side
    7,415.70x = 51,834,630.65
  5. Step 5: Solve for x
    x = 51,834,630.65/7,415.70
  6. Step 6: Final answer
    x = 6,989.85

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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.