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Finding the Fourth Proportional to 8,077.72, 11,154.54 and 5,098.84

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Solution

The fourth proportional to 8,077.72, 11,154.54 and 5,098.84 is: 7,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.72 : 11,154.54 = 5,098.84 : x
  2. Step 2: Convert to fraction form
    8,077.72/11,154.54 = 5,098.84/x
  3. Step 3: Cross multiply
    8,077.72x = 11,154.54 × 5,098.84
  4. Step 4: Simplify right side
    8,077.72x = 56,875,214.73
  5. Step 5: Solve for x
    x = 56,875,214.73/8,077.72
  6. Step 6: Final answer
    x = 7,041.00

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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.