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Finding the Fourth Proportional to 10,094.58, 15,141.80 and 4,174.66

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Solution

The fourth proportional to 10,094.58, 15,141.80 and 4,174.66 is: 6,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.58 : 15,141.80 = 4,174.66 : x
  2. Step 2: Convert to fraction form
    10,094.58/15,141.80 = 4,174.66/x
  3. Step 3: Cross multiply
    10,094.58x = 15,141.80 × 4,174.66
  4. Step 4: Simplify right side
    10,094.58x = 63,211,866.79
  5. Step 5: Solve for x
    x = 63,211,866.79/10,094.58
  6. Step 6: Final answer
    x = 6,261.96

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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.