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Finding the Fourth Proportional to 8,804, 12,154.96 and 5,665.76

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Solution

The fourth proportional to 8,804, 12,154.96 and 5,665.76 is: 7,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,804 : 12,154.96 = 5,665.76 : x
  2. Step 2: Convert to fraction form
    8,804/12,154.96 = 5,665.76/x
  3. Step 3: Cross multiply
    8,804x = 12,154.96 × 5,665.76
  4. Step 4: Simplify right side
    8,804x = 68,867,086.17
  5. Step 5: Solve for x
    x = 68,867,086.17/8,804
  6. Step 6: Final answer
    x = 7,822.25

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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.