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Finding the Fourth Proportional to 7,641.41, 11,445.19 and 5,873.40

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Solution

The fourth proportional to 7,641.41, 11,445.19 and 5,873.40 is: 8,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.41 : 11,445.19 = 5,873.40 : x
  2. Step 2: Convert to fraction form
    7,641.41/11,445.19 = 5,873.40/x
  3. Step 3: Cross multiply
    7,641.41x = 11,445.19 × 5,873.40
  4. Step 4: Simplify right side
    7,641.41x = 67,222,139.91
  5. Step 5: Solve for x
    x = 67,222,139.91/7,641.41
  6. Step 6: Final answer
    x = 8,797.08

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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.