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Finding the Fourth Proportional to 7,878.98, 11,807.33 and 4,370.54

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Solution

The fourth proportional to 7,878.98, 11,807.33 and 4,370.54 is: 6,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.98 : 11,807.33 = 4,370.54 : x
  2. Step 2: Convert to fraction form
    7,878.98/11,807.33 = 4,370.54/x
  3. Step 3: Cross multiply
    7,878.98x = 11,807.33 × 4,370.54
  4. Step 4: Simplify right side
    7,878.98x = 51,604,327.17
  5. Step 5: Solve for x
    x = 51,604,327.17/7,878.98
  6. Step 6: Final answer
    x = 6,549.62

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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.