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Finding the Fourth Proportional to 10,206.76, 15,278.32 and 7,860.68

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Solution

The fourth proportional to 10,206.76, 15,278.32 and 7,860.68 is: 11,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.76 : 15,278.32 = 7,860.68 : x
  2. Step 2: Convert to fraction form
    10,206.76/15,278.32 = 7,860.68/x
  3. Step 3: Cross multiply
    10,206.76x = 15,278.32 × 7,860.68
  4. Step 4: Simplify right side
    10,206.76x = 120,097,984.46
  5. Step 5: Solve for x
    x = 120,097,984.46/10,206.76
  6. Step 6: Final answer
    x = 11,766.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.