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Finding the Fourth Proportional to 8,365.70, 12,564.15 and 7,365.40

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Solution

The fourth proportional to 8,365.70, 12,564.15 and 7,365.40 is: 11,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.70 : 12,564.15 = 7,365.40 : x
  2. Step 2: Convert to fraction form
    8,365.70/12,564.15 = 7,365.40/x
  3. Step 3: Cross multiply
    8,365.70x = 12,564.15 × 7,365.40
  4. Step 4: Simplify right side
    8,365.70x = 92,540,033.74
  5. Step 5: Solve for x
    x = 92,540,033.74/8,365.70
  6. Step 6: Final answer
    x = 11,061.84

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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.