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Finding the Fourth Proportional to 10,194.66, 15,315.39 and 7,240.39

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Solution

The fourth proportional to 10,194.66, 15,315.39 and 7,240.39 is: 10,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.66 : 15,315.39 = 7,240.39 : x
  2. Step 2: Convert to fraction form
    10,194.66/15,315.39 = 7,240.39/x
  3. Step 3: Cross multiply
    10,194.66x = 15,315.39 × 7,240.39
  4. Step 4: Simplify right side
    10,194.66x = 110,889,358.31
  5. Step 5: Solve for x
    x = 110,889,358.31/10,194.66
  6. Step 6: Final answer
    x = 10,877.20

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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.