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Finding the Fourth Proportional to 10,362.09, 15,543.12 and 2,570.90

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Solution

The fourth proportional to 10,362.09, 15,543.12 and 2,570.90 is: 3,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.09 : 15,543.12 = 2,570.90 : x
  2. Step 2: Convert to fraction form
    10,362.09/15,543.12 = 2,570.90/x
  3. Step 3: Cross multiply
    10,362.09x = 15,543.12 × 2,570.90
  4. Step 4: Simplify right side
    10,362.09x = 39,959,807.21
  5. Step 5: Solve for x
    x = 39,959,807.21/10,362.09
  6. Step 6: Final answer
    x = 3,856.35

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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.