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Finding the Fourth Proportional to 8,699.72, 12,986.62 and 7,648.80

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Solution

The fourth proportional to 8,699.72, 12,986.62 and 7,648.80 is: 11,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.72 : 12,986.62 = 7,648.80 : x
  2. Step 2: Convert to fraction form
    8,699.72/12,986.62 = 7,648.80/x
  3. Step 3: Cross multiply
    8,699.72x = 12,986.62 × 7,648.80
  4. Step 4: Simplify right side
    8,699.72x = 99,332,059.06
  5. Step 5: Solve for x
    x = 99,332,059.06/8,699.72
  6. Step 6: Final answer
    x = 11,417.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.