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Finding the Fourth Proportional to 5,113.73, 7,670.76 and 1,415.65

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Solution

The fourth proportional to 5,113.73, 7,670.76 and 1,415.65 is: 2,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.73 : 7,670.76 = 1,415.65 : x
  2. Step 2: Convert to fraction form
    5,113.73/7,670.76 = 1,415.65/x
  3. Step 3: Cross multiply
    5,113.73x = 7,670.76 × 1,415.65
  4. Step 4: Simplify right side
    5,113.73x = 10,859,065.96
  5. Step 5: Solve for x
    x = 10,859,065.96/5,113.73
  6. Step 6: Final answer
    x = 2,123.51

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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.