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Finding the Fourth Proportional to 7,155.66, 10,734.30 and 6,420.72

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Solution

The fourth proportional to 7,155.66, 10,734.30 and 6,420.72 is: 9,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.66 : 10,734.30 = 6,420.72 : x
  2. Step 2: Convert to fraction form
    7,155.66/10,734.30 = 6,420.72/x
  3. Step 3: Cross multiply
    7,155.66x = 10,734.30 × 6,420.72
  4. Step 4: Simplify right side
    7,155.66x = 68,921,934.70
  5. Step 5: Solve for x
    x = 68,921,934.70/7,155.66
  6. Step 6: Final answer
    x = 9,631.81

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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.