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Finding the Fourth Proportional to 10,393.02, 15,597 and 4,149.45

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Solution

The fourth proportional to 10,393.02, 15,597 and 4,149.45 is: 6,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.02 : 15,597 = 4,149.45 : x
  2. Step 2: Convert to fraction form
    10,393.02/15,597 = 4,149.45/x
  3. Step 3: Cross multiply
    10,393.02x = 15,597 × 4,149.45
  4. Step 4: Simplify right side
    10,393.02x = 64,718,971.65
  5. Step 5: Solve for x
    x = 64,718,971.65/10,393.02
  6. Step 6: Final answer
    x = 6,227.16

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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.