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Finding the Fourth Proportional to 7,530.50, 10,381.24 and 5,285.40

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Solution

The fourth proportional to 7,530.50, 10,381.24 and 5,285.40 is: 7,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.50 : 10,381.24 = 5,285.40 : x
  2. Step 2: Convert to fraction form
    7,530.50/10,381.24 = 5,285.40/x
  3. Step 3: Cross multiply
    7,530.50x = 10,381.24 × 5,285.40
  4. Step 4: Simplify right side
    7,530.50x = 54,869,005.90
  5. Step 5: Solve for x
    x = 54,869,005.90/7,530.50
  6. Step 6: Final answer
    x = 7,286.24

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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.