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Finding the Fourth Proportional to 10,594.52, 14,617.97 and 6,117.44

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Solution

The fourth proportional to 10,594.52, 14,617.97 and 6,117.44 is: 8,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.52 : 14,617.97 = 6,117.44 : x
  2. Step 2: Convert to fraction form
    10,594.52/14,617.97 = 6,117.44/x
  3. Step 3: Cross multiply
    10,594.52x = 14,617.97 × 6,117.44
  4. Step 4: Simplify right side
    10,594.52x = 89,424,473.66
  5. Step 5: Solve for x
    x = 89,424,473.66/10,594.52
  6. Step 6: Final answer
    x = 8,440.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.