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Finding the Fourth Proportional to 10,094.58, 15,142.62 and 2,698.87

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Solution

The fourth proportional to 10,094.58, 15,142.62 and 2,698.87 is: 4,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.58 : 15,142.62 = 2,698.87 : x
  2. Step 2: Convert to fraction form
    10,094.58/15,142.62 = 2,698.87/x
  3. Step 3: Cross multiply
    10,094.58x = 15,142.62 × 2,698.87
  4. Step 4: Simplify right side
    10,094.58x = 40,867,962.84
  5. Step 5: Solve for x
    x = 40,867,962.84/10,094.58
  6. Step 6: Final answer
    x = 4,048.51

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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.