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Finding the Fourth Proportional to 10,306.70, 15,464.10 and 4,065.65

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Solution

The fourth proportional to 10,306.70, 15,464.10 and 4,065.65 is: 6,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.70 : 15,464.10 = 4,065.65 : x
  2. Step 2: Convert to fraction form
    10,306.70/15,464.10 = 4,065.65/x
  3. Step 3: Cross multiply
    10,306.70x = 15,464.10 × 4,065.65
  4. Step 4: Simplify right side
    10,306.70x = 62,871,618.17
  5. Step 5: Solve for x
    x = 62,871,618.17/10,306.70
  6. Step 6: Final answer
    x = 6,100.07

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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.