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Finding the Fourth Proportional to 10,362.16, 15,543.21 and 2,570.97

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Solution

The fourth proportional to 10,362.16, 15,543.21 and 2,570.97 is: 3,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.16 : 15,543.21 = 2,570.97 : x
  2. Step 2: Convert to fraction form
    10,362.16/15,543.21 = 2,570.97/x
  3. Step 3: Cross multiply
    10,362.16x = 15,543.21 × 2,570.97
  4. Step 4: Simplify right side
    10,362.16x = 39,961,126.61
  5. Step 5: Solve for x
    x = 39,961,126.61/10,362.16
  6. Step 6: Final answer
    x = 3,856.45

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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.