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Finding the Fourth Proportional to 6,587.94, 9,919.25 and 5,813.04

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Solution

The fourth proportional to 6,587.94, 9,919.25 and 5,813.04 is: 8,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.94 : 9,919.25 = 5,813.04 : x
  2. Step 2: Convert to fraction form
    6,587.94/9,919.25 = 5,813.04/x
  3. Step 3: Cross multiply
    6,587.94x = 9,919.25 × 5,813.04
  4. Step 4: Simplify right side
    6,587.94x = 57,660,967.95
  5. Step 5: Solve for x
    x = 57,660,967.95/6,587.94
  6. Step 6: Final answer
    x = 8,752.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.