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Finding the Fourth Proportional to 10,657.38, 15,986.28 and 3,541.62

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Solution

The fourth proportional to 10,657.38, 15,986.28 and 3,541.62 is: 5,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.38 : 15,986.28 = 3,541.62 : x
  2. Step 2: Convert to fraction form
    10,657.38/15,986.28 = 3,541.62/x
  3. Step 3: Cross multiply
    10,657.38x = 15,986.28 × 3,541.62
  4. Step 4: Simplify right side
    10,657.38x = 56,617,328.97
  5. Step 5: Solve for x
    x = 56,617,328.97/10,657.38
  6. Step 6: Final answer
    x = 5,312.50

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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.