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Finding the Fourth Proportional to 10,701.90, 14,768.66 and 5,985.88

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Solution

The fourth proportional to 10,701.90, 14,768.66 and 5,985.88 is: 8,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.90 : 14,768.66 = 5,985.88 : x
  2. Step 2: Convert to fraction form
    10,701.90/14,768.66 = 5,985.88/x
  3. Step 3: Cross multiply
    10,701.90x = 14,768.66 × 5,985.88
  4. Step 4: Simplify right side
    10,701.90x = 88,403,426.52
  5. Step 5: Solve for x
    x = 88,403,426.52/10,701.90
  6. Step 6: Final answer
    x = 8,260.54

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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.