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Finding the Fourth Proportional to 8,125.40, 12,118.78 and 7,985

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Solution

The fourth proportional to 8,125.40, 12,118.78 and 7,985 is: 11,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.40 : 12,118.78 = 7,985 : x
  2. Step 2: Convert to fraction form
    8,125.40/12,118.78 = 7,985/x
  3. Step 3: Cross multiply
    8,125.40x = 12,118.78 × 7,985
  4. Step 4: Simplify right side
    8,125.40x = 96,768,458.30
  5. Step 5: Solve for x
    x = 96,768,458.30/8,125.40
  6. Step 6: Final answer
    x = 11,909.38

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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.