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Finding the Fourth Proportional to 10,614.65, 15,919.94 and 4,041.50

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Solution

The fourth proportional to 10,614.65, 15,919.94 and 4,041.50 is: 6,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.65 : 15,919.94 = 4,041.50 : x
  2. Step 2: Convert to fraction form
    10,614.65/15,919.94 = 4,041.50/x
  3. Step 3: Cross multiply
    10,614.65x = 15,919.94 × 4,041.50
  4. Step 4: Simplify right side
    10,614.65x = 64,340,368.01
  5. Step 5: Solve for x
    x = 64,340,368.01/10,614.65
  6. Step 6: Final answer
    x = 6,061.47

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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.