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Finding the Fourth Proportional to 10,491.76, 15,740.40 and 5,228.32

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Solution

The fourth proportional to 10,491.76, 15,740.40 and 5,228.32 is: 7,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.76 : 15,740.40 = 5,228.32 : x
  2. Step 2: Convert to fraction form
    10,491.76/15,740.40 = 5,228.32/x
  3. Step 3: Cross multiply
    10,491.76x = 15,740.40 × 5,228.32
  4. Step 4: Simplify right side
    10,491.76x = 82,295,848.13
  5. Step 5: Solve for x
    x = 82,295,848.13/10,491.76
  6. Step 6: Final answer
    x = 7,843.86

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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.