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Finding the Fourth Proportional to 10,701.67, 14,768.40 and 6,228.02

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Solution

The fourth proportional to 10,701.67, 14,768.40 and 6,228.02 is: 8,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.67 : 14,768.40 = 6,228.02 : x
  2. Step 2: Convert to fraction form
    10,701.67/14,768.40 = 6,228.02/x
  3. Step 3: Cross multiply
    10,701.67x = 14,768.40 × 6,228.02
  4. Step 4: Simplify right side
    10,701.67x = 91,977,843.77
  5. Step 5: Solve for x
    x = 91,977,843.77/10,701.67
  6. Step 6: Final answer
    x = 8,594.72

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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.