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Finding the Fourth Proportional to 10,498.95, 15,750.65 and 3,478.57

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Solution

The fourth proportional to 10,498.95, 15,750.65 and 3,478.57 is: 5,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.95 : 15,750.65 = 3,478.57 : x
  2. Step 2: Convert to fraction form
    10,498.95/15,750.65 = 3,478.57/x
  3. Step 3: Cross multiply
    10,498.95x = 15,750.65 × 3,478.57
  4. Step 4: Simplify right side
    10,498.95x = 54,789,642.42
  5. Step 5: Solve for x
    x = 54,789,642.42/10,498.95
  6. Step 6: Final answer
    x = 5,218.58

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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.