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Finding the Fourth Proportional to 7,875.14, 10,858.68 and 5,882.34

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Solution

The fourth proportional to 7,875.14, 10,858.68 and 5,882.34 is: 8,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.14 : 10,858.68 = 5,882.34 : x
  2. Step 2: Convert to fraction form
    7,875.14/10,858.68 = 5,882.34/x
  3. Step 3: Cross multiply
    7,875.14x = 10,858.68 × 5,882.34
  4. Step 4: Simplify right side
    7,875.14x = 63,874,447.71
  5. Step 5: Solve for x
    x = 63,874,447.71/7,875.14
  6. Step 6: Final answer
    x = 8,110.90

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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.