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Finding the Fourth Proportional to 10,661.94, 15,962.76 and 5,652.90

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Solution

The fourth proportional to 10,661.94, 15,962.76 and 5,652.90 is: 8,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.94 : 15,962.76 = 5,652.90 : x
  2. Step 2: Convert to fraction form
    10,661.94/15,962.76 = 5,652.90/x
  3. Step 3: Cross multiply
    10,661.94x = 15,962.76 × 5,652.90
  4. Step 4: Simplify right side
    10,661.94x = 90,235,886.00
  5. Step 5: Solve for x
    x = 90,235,886.00/10,661.94
  6. Step 6: Final answer
    x = 8,463.36

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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.