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Finding the Fourth Proportional to 10,265.86, 15,398.80 and 2,870.38

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Solution

The fourth proportional to 10,265.86, 15,398.80 and 2,870.38 is: 4,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.86 : 15,398.80 = 2,870.38 : x
  2. Step 2: Convert to fraction form
    10,265.86/15,398.80 = 2,870.38/x
  3. Step 3: Cross multiply
    10,265.86x = 15,398.80 × 2,870.38
  4. Step 4: Simplify right side
    10,265.86x = 44,200,407.54
  5. Step 5: Solve for x
    x = 44,200,407.54/10,265.86
  6. Step 6: Final answer
    x = 4,305.57

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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.