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Finding the Fourth Proportional to 8,503.07, 12,757.85 and 7,678.49

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Solution

The fourth proportional to 8,503.07, 12,757.85 and 7,678.49 is: 11,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.07 : 12,757.85 = 7,678.49 : x
  2. Step 2: Convert to fraction form
    8,503.07/12,757.85 = 7,678.49/x
  3. Step 3: Cross multiply
    8,503.07x = 12,757.85 × 7,678.49
  4. Step 4: Simplify right side
    8,503.07x = 97,960,985.25
  5. Step 5: Solve for x
    x = 97,960,985.25/8,503.07
  6. Step 6: Final answer
    x = 11,520.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.