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Finding the Fourth Proportional to 7,870.87, 11,792.39 and 7,402.59

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Solution

The fourth proportional to 7,870.87, 11,792.39 and 7,402.59 is: 11,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.87 : 11,792.39 = 7,402.59 : x
  2. Step 2: Convert to fraction form
    7,870.87/11,792.39 = 7,402.59/x
  3. Step 3: Cross multiply
    7,870.87x = 11,792.39 × 7,402.59
  4. Step 4: Simplify right side
    7,870.87x = 87,294,191.28
  5. Step 5: Solve for x
    x = 87,294,191.28/7,870.87
  6. Step 6: Final answer
    x = 11,090.79

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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.