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Finding the Fourth Proportional to 8,037.76, 11,095.20 and 5,384.20

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Solution

The fourth proportional to 8,037.76, 11,095.20 and 5,384.20 is: 7,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.76 : 11,095.20 = 5,384.20 : x
  2. Step 2: Convert to fraction form
    8,037.76/11,095.20 = 5,384.20/x
  3. Step 3: Cross multiply
    8,037.76x = 11,095.20 × 5,384.20
  4. Step 4: Simplify right side
    8,037.76x = 59,738,775.84
  5. Step 5: Solve for x
    x = 59,738,775.84/8,037.76
  6. Step 6: Final answer
    x = 7,432.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.