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Finding the Fourth Proportional to 7,902.11, 11,851.57 and 2,902.77

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Solution

The fourth proportional to 7,902.11, 11,851.57 and 2,902.77 is: 4,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.11 : 11,851.57 = 2,902.77 : x
  2. Step 2: Convert to fraction form
    7,902.11/11,851.57 = 2,902.77/x
  3. Step 3: Cross multiply
    7,902.11x = 11,851.57 × 2,902.77
  4. Step 4: Simplify right side
    7,902.11x = 34,402,374.59
  5. Step 5: Solve for x
    x = 34,402,374.59/7,902.11
  6. Step 6: Final answer
    x = 4,353.57

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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.