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Finding the Fourth Proportional to 10,097.74, 15,134.76 and 4,544.59

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Solution

The fourth proportional to 10,097.74, 15,134.76 and 4,544.59 is: 6,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.74 : 15,134.76 = 4,544.59 : x
  2. Step 2: Convert to fraction form
    10,097.74/15,134.76 = 4,544.59/x
  3. Step 3: Cross multiply
    10,097.74x = 15,134.76 × 4,544.59
  4. Step 4: Simplify right side
    10,097.74x = 68,781,278.95
  5. Step 5: Solve for x
    x = 68,781,278.95/10,097.74
  6. Step 6: Final answer
    x = 6,811.55

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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.