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Finding the Fourth Proportional to 25,180.02, 37,772.16 and 7,650

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Solution

The fourth proportional to 25,180.02, 37,772.16 and 7,650 is: 11,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,180.02 : 37,772.16 = 7,650 : x
  2. Step 2: Convert to fraction form
    25,180.02/37,772.16 = 7,650/x
  3. Step 3: Cross multiply
    25,180.02x = 37,772.16 × 7,650
  4. Step 4: Simplify right side
    25,180.02x = 288,957,024
  5. Step 5: Solve for x
    x = 288,957,024/25,180.02
  6. Step 6: Final answer
    x = 11,475.65

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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.