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Finding the Fourth Proportional to 10,535.68, 15,795.20 and 7,238.98

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Solution

The fourth proportional to 10,535.68, 15,795.20 and 7,238.98 is: 10,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.68 : 15,795.20 = 7,238.98 : x
  2. Step 2: Convert to fraction form
    10,535.68/15,795.20 = 7,238.98/x
  3. Step 3: Cross multiply
    10,535.68x = 15,795.20 × 7,238.98
  4. Step 4: Simplify right side
    10,535.68x = 114,341,136.90
  5. Step 5: Solve for x
    x = 114,341,136.90/10,535.68
  6. Step 6: Final answer
    x = 10,852.75

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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.