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Finding the Fourth Proportional to 7,535.75, 10,402.95 and 5,299.53

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Solution

The fourth proportional to 7,535.75, 10,402.95 and 5,299.53 is: 7,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.75 : 10,402.95 = 5,299.53 : x
  2. Step 2: Convert to fraction form
    7,535.75/10,402.95 = 5,299.53/x
  3. Step 3: Cross multiply
    7,535.75x = 10,402.95 × 5,299.53
  4. Step 4: Simplify right side
    7,535.75x = 55,130,745.61
  5. Step 5: Solve for x
    x = 55,130,745.61/7,535.75
  6. Step 6: Final answer
    x = 7,315.90

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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.