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Finding the Fourth Proportional to 10,661.88, 14,711.86 and 6,062.50

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Solution

The fourth proportional to 10,661.88, 14,711.86 and 6,062.50 is: 8,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.88 : 14,711.86 = 6,062.50 : x
  2. Step 2: Convert to fraction form
    10,661.88/14,711.86 = 6,062.50/x
  3. Step 3: Cross multiply
    10,661.88x = 14,711.86 × 6,062.50
  4. Step 4: Simplify right side
    10,661.88x = 89,190,651.25
  5. Step 5: Solve for x
    x = 89,190,651.25/10,661.88
  6. Step 6: Final answer
    x = 8,365.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.