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Finding the Fourth Proportional to 27,097.30, 40,641.85 and 7,377.41

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Solution

The fourth proportional to 27,097.30, 40,641.85 and 7,377.41 is: 11,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.30 : 40,641.85 = 7,377.41 : x
  2. Step 2: Convert to fraction form
    27,097.30/40,641.85 = 7,377.41/x
  3. Step 3: Cross multiply
    27,097.30x = 40,641.85 × 7,377.41
  4. Step 4: Simplify right side
    27,097.30x = 299,831,701.43
  5. Step 5: Solve for x
    x = 299,831,701.43/27,097.30
  6. Step 6: Final answer
    x = 11,065.00

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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.