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Finding the Fourth Proportional to 10,369.66, 15,559.49 and 5,101.81

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Solution

The fourth proportional to 10,369.66, 15,559.49 and 5,101.81 is: 7,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.66 : 15,559.49 = 5,101.81 : x
  2. Step 2: Convert to fraction form
    10,369.66/15,559.49 = 5,101.81/x
  3. Step 3: Cross multiply
    10,369.66x = 15,559.49 × 5,101.81
  4. Step 4: Simplify right side
    10,369.66x = 79,381,535.85
  5. Step 5: Solve for x
    x = 79,381,535.85/10,369.66
  6. Step 6: Final answer
    x = 7,655.18

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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.