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Finding the Fourth Proportional to 7,854.36, 10,828.17 and 6,266.40

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Solution

The fourth proportional to 7,854.36, 10,828.17 and 6,266.40 is: 8,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.36 : 10,828.17 = 6,266.40 : x
  2. Step 2: Convert to fraction form
    7,854.36/10,828.17 = 6,266.40/x
  3. Step 3: Cross multiply
    7,854.36x = 10,828.17 × 6,266.40
  4. Step 4: Simplify right side
    7,854.36x = 67,853,644.49
  5. Step 5: Solve for x
    x = 67,853,644.49/7,854.36
  6. Step 6: Final answer
    x = 8,638.98

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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.