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Finding the Fourth Proportional to 10,094.54, 15,140.88 and 2,698.74

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Solution

The fourth proportional to 10,094.54, 15,140.88 and 2,698.74 is: 4,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.54 : 15,140.88 = 2,698.74 : x
  2. Step 2: Convert to fraction form
    10,094.54/15,140.88 = 2,698.74/x
  3. Step 3: Cross multiply
    10,094.54x = 15,140.88 × 2,698.74
  4. Step 4: Simplify right side
    10,094.54x = 40,861,298.49
  5. Step 5: Solve for x
    x = 40,861,298.49/10,094.54
  6. Step 6: Final answer
    x = 4,047.86

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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.