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Finding the Fourth Proportional to 10,778.50, 14,870.20 and 7,952.61

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Solution

The fourth proportional to 10,778.50, 14,870.20 and 7,952.61 is: 10,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.50 : 14,870.20 = 7,952.61 : x
  2. Step 2: Convert to fraction form
    10,778.50/14,870.20 = 7,952.61/x
  3. Step 3: Cross multiply
    10,778.50x = 14,870.20 × 7,952.61
  4. Step 4: Simplify right side
    10,778.50x = 118,256,952.01
  5. Step 5: Solve for x
    x = 118,256,952.01/10,778.50
  6. Step 6: Final answer
    x = 10,971.56

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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.