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Finding the Fourth Proportional to 8,830.18, 12,191 and 5,848.57

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Solution

The fourth proportional to 8,830.18, 12,191 and 5,848.57 is: 8,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.18 : 12,191 = 5,848.57 : x
  2. Step 2: Convert to fraction form
    8,830.18/12,191 = 5,848.57/x
  3. Step 3: Cross multiply
    8,830.18x = 12,191 × 5,848.57
  4. Step 4: Simplify right side
    8,830.18x = 71,299,916.87
  5. Step 5: Solve for x
    x = 71,299,916.87/8,830.18
  6. Step 6: Final answer
    x = 8,074.57

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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.