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Finding the Fourth Proportional to 7,122.66, 10,689.65 and 4,005.78

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Solution

The fourth proportional to 7,122.66, 10,689.65 and 4,005.78 is: 6,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.66 : 10,689.65 = 4,005.78 : x
  2. Step 2: Convert to fraction form
    7,122.66/10,689.65 = 4,005.78/x
  3. Step 3: Cross multiply
    7,122.66x = 10,689.65 × 4,005.78
  4. Step 4: Simplify right side
    7,122.66x = 42,820,386.18
  5. Step 5: Solve for x
    x = 42,820,386.18/7,122.66
  6. Step 6: Final answer
    x = 6,011.85

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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.