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Finding the Fourth Proportional to 10,258.42, 15,387.63 and 5,878.66

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Solution

The fourth proportional to 10,258.42, 15,387.63 and 5,878.66 is: 8,817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.42 : 15,387.63 = 5,878.66 : x
  2. Step 2: Convert to fraction form
    10,258.42/15,387.63 = 5,878.66/x
  3. Step 3: Cross multiply
    10,258.42x = 15,387.63 × 5,878.66
  4. Step 4: Simplify right side
    10,258.42x = 90,458,644.98
  5. Step 5: Solve for x
    x = 90,458,644.98/10,258.42
  6. Step 6: Final answer
    x = 8,817.99

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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.