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Finding the Fourth Proportional to 10,258.01, 15,387.01 and 2,466.82

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Solution

The fourth proportional to 10,258.01, 15,387.01 and 2,466.82 is: 3,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.01 : 15,387.01 = 2,466.82 : x
  2. Step 2: Convert to fraction form
    10,258.01/15,387.01 = 2,466.82/x
  3. Step 3: Cross multiply
    10,258.01x = 15,387.01 × 2,466.82
  4. Step 4: Simplify right side
    10,258.01x = 37,956,984.01
  5. Step 5: Solve for x
    x = 37,956,984.01/10,258.01
  6. Step 6: Final answer
    x = 3,700.23

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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.