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Finding the Fourth Proportional to 7,878.57, 11,816.91 and 2,948.10

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Solution

The fourth proportional to 7,878.57, 11,816.91 and 2,948.10 is: 4,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.57 : 11,816.91 = 2,948.10 : x
  2. Step 2: Convert to fraction form
    7,878.57/11,816.91 = 2,948.10/x
  3. Step 3: Cross multiply
    7,878.57x = 11,816.91 × 2,948.10
  4. Step 4: Simplify right side
    7,878.57x = 34,837,432.37
  5. Step 5: Solve for x
    x = 34,837,432.37/7,878.57
  6. Step 6: Final answer
    x = 4,421.80

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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.