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Finding the Fourth Proportional to 10,434.92, 15,628.38 and 6,041.48

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Solution

The fourth proportional to 10,434.92, 15,628.38 and 6,041.48 is: 9,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.92 : 15,628.38 = 6,041.48 : x
  2. Step 2: Convert to fraction form
    10,434.92/15,628.38 = 6,041.48/x
  3. Step 3: Cross multiply
    10,434.92x = 15,628.38 × 6,041.48
  4. Step 4: Simplify right side
    10,434.92x = 94,418,545.20
  5. Step 5: Solve for x
    x = 94,418,545.20/10,434.92
  6. Step 6: Final answer
    x = 9,048.32

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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.