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Finding the Fourth Proportional to 12,062.25, 16,645.95 and 7,870.50

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Solution

The fourth proportional to 12,062.25, 16,645.95 and 7,870.50 is: 10,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,062.25 : 16,645.95 = 7,870.50 : x
  2. Step 2: Convert to fraction form
    12,062.25/16,645.95 = 7,870.50/x
  3. Step 3: Cross multiply
    12,062.25x = 16,645.95 × 7,870.50
  4. Step 4: Simplify right side
    12,062.25x = 131,011,949.48
  5. Step 5: Solve for x
    x = 131,011,949.48/12,062.25
  6. Step 6: Final answer
    x = 10,861.32

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