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Finding the Fourth Proportional to 10,139.96, 15,214.80 and 4,943

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Solution

The fourth proportional to 10,139.96, 15,214.80 and 4,943 is: 7,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.96 : 15,214.80 = 4,943 : x
  2. Step 2: Convert to fraction form
    10,139.96/15,214.80 = 4,943/x
  3. Step 3: Cross multiply
    10,139.96x = 15,214.80 × 4,943
  4. Step 4: Simplify right side
    10,139.96x = 75,206,756.40
  5. Step 5: Solve for x
    x = 75,206,756.40/10,139.96
  6. Step 6: Final answer
    x = 7,416.87

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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.