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Finding the Fourth Proportional to 7,875.84, 10,875.68 and 5,883

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Solution

The fourth proportional to 7,875.84, 10,875.68 and 5,883 is: 8,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.84 : 10,875.68 = 5,883 : x
  2. Step 2: Convert to fraction form
    7,875.84/10,875.68 = 5,883/x
  3. Step 3: Cross multiply
    7,875.84x = 10,875.68 × 5,883
  4. Step 4: Simplify right side
    7,875.84x = 63,981,625.44
  5. Step 5: Solve for x
    x = 63,981,625.44/7,875.84
  6. Step 6: Final answer
    x = 8,123.78

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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.