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Finding the Fourth Proportional to 8,090.76, 12,127.50 and 5,775.24

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Solution

The fourth proportional to 8,090.76, 12,127.50 and 5,775.24 is: 8,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.76 : 12,127.50 = 5,775.24 : x
  2. Step 2: Convert to fraction form
    8,090.76/12,127.50 = 5,775.24/x
  3. Step 3: Cross multiply
    8,090.76x = 12,127.50 × 5,775.24
  4. Step 4: Simplify right side
    8,090.76x = 70,039,223.10
  5. Step 5: Solve for x
    x = 70,039,223.10/8,090.76
  6. Step 6: Final answer
    x = 8,656.69

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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.