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Finding the Fourth Proportional to 11,500.84, 15,868.32 and 7,022.92

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Solution

The fourth proportional to 11,500.84, 15,868.32 and 7,022.92 is: 9,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.84 : 15,868.32 = 7,022.92 : x
  2. Step 2: Convert to fraction form
    11,500.84/15,868.32 = 7,022.92/x
  3. Step 3: Cross multiply
    11,500.84x = 15,868.32 × 7,022.92
  4. Step 4: Simplify right side
    11,500.84x = 111,441,941.89
  5. Step 5: Solve for x
    x = 111,441,941.89/11,500.84
  6. Step 6: Final answer
    x = 9,689.90

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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.