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Finding the Fourth Proportional to 7,152, 10,729.62 and 2,535

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Solution

The fourth proportional to 7,152, 10,729.62 and 2,535 is: 3,803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152 : 10,729.62 = 2,535 : x
  2. Step 2: Convert to fraction form
    7,152/10,729.62 = 2,535/x
  3. Step 3: Cross multiply
    7,152x = 10,729.62 × 2,535
  4. Step 4: Simplify right side
    7,152x = 27,199,586.70
  5. Step 5: Solve for x
    x = 27,199,586.70/7,152
  6. Step 6: Final answer
    x = 3,803.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.