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Finding the Fourth Proportional to 7,242.35, 10,870.81 and 5,288.63

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Solution

The fourth proportional to 7,242.35, 10,870.81 and 5,288.63 is: 7,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.35 : 10,870.81 = 5,288.63 : x
  2. Step 2: Convert to fraction form
    7,242.35/10,870.81 = 5,288.63/x
  3. Step 3: Cross multiply
    7,242.35x = 10,870.81 × 5,288.63
  4. Step 4: Simplify right side
    7,242.35x = 57,491,624.31
  5. Step 5: Solve for x
    x = 57,491,624.31/7,242.35
  6. Step 6: Final answer
    x = 7,938.26

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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.