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Finding the Fourth Proportional to 10,026.50, 15,049.49 and 4,836.02

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Solution

The fourth proportional to 10,026.50, 15,049.49 and 4,836.02 is: 7,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.50 : 15,049.49 = 4,836.02 : x
  2. Step 2: Convert to fraction form
    10,026.50/15,049.49 = 4,836.02/x
  3. Step 3: Cross multiply
    10,026.50x = 15,049.49 × 4,836.02
  4. Step 4: Simplify right side
    10,026.50x = 72,779,535.20
  5. Step 5: Solve for x
    x = 72,779,535.20/10,026.50
  6. Step 6: Final answer
    x = 7,258.72

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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.