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Finding the Fourth Proportional to 10,204.76, 15,275.32 and 7,858.68

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Solution

The fourth proportional to 10,204.76, 15,275.32 and 7,858.68 is: 11,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.76 : 15,275.32 = 7,858.68 : x
  2. Step 2: Convert to fraction form
    10,204.76/15,275.32 = 7,858.68/x
  3. Step 3: Cross multiply
    10,204.76x = 15,275.32 × 7,858.68
  4. Step 4: Simplify right side
    10,204.76x = 120,043,851.78
  5. Step 5: Solve for x
    x = 120,043,851.78/10,204.76
  6. Step 6: Final answer
    x = 11,763.52

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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.