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Finding the Fourth Proportional to 7,897.91, 10,902.60 and 4,712.31

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Solution

The fourth proportional to 7,897.91, 10,902.60 and 4,712.31 is: 6,505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.91 : 10,902.60 = 4,712.31 : x
  2. Step 2: Convert to fraction form
    7,897.91/10,902.60 = 4,712.31/x
  3. Step 3: Cross multiply
    7,897.91x = 10,902.60 × 4,712.31
  4. Step 4: Simplify right side
    7,897.91x = 51,376,431.01
  5. Step 5: Solve for x
    x = 51,376,431.01/7,897.91
  6. Step 6: Final answer
    x = 6,505.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.