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Finding the Fourth Proportional to 10,699.91, 14,766.35 and 5,984.18

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Solution

The fourth proportional to 10,699.91, 14,766.35 and 5,984.18 is: 8,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.91 : 14,766.35 = 5,984.18 : x
  2. Step 2: Convert to fraction form
    10,699.91/14,766.35 = 5,984.18/x
  3. Step 3: Cross multiply
    10,699.91x = 14,766.35 × 5,984.18
  4. Step 4: Simplify right side
    10,699.91x = 88,364,392.59
  5. Step 5: Solve for x
    x = 88,364,392.59/10,699.91
  6. Step 6: Final answer
    x = 8,258.43

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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.