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Finding the Fourth Proportional to 7,875.41, 10,878.45 and 5,882.51

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Solution

The fourth proportional to 7,875.41, 10,878.45 and 5,882.51 is: 8,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.41 : 10,878.45 = 5,882.51 : x
  2. Step 2: Convert to fraction form
    7,875.41/10,878.45 = 5,882.51/x
  3. Step 3: Cross multiply
    7,875.41x = 10,878.45 × 5,882.51
  4. Step 4: Simplify right side
    7,875.41x = 63,992,590.91
  5. Step 5: Solve for x
    x = 63,992,590.91/7,875.41
  6. Step 6: Final answer
    x = 8,125.62

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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.