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Finding the Fourth Proportional to 12,590.61, 18,878.91 and 5,200.08

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Solution

The fourth proportional to 12,590.61, 18,878.91 and 5,200.08 is: 7,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.61 : 18,878.91 = 5,200.08 : x
  2. Step 2: Convert to fraction form
    12,590.61/18,878.91 = 5,200.08/x
  3. Step 3: Cross multiply
    12,590.61x = 18,878.91 × 5,200.08
  4. Step 4: Simplify right side
    12,590.61x = 98,171,842.31
  5. Step 5: Solve for x
    x = 98,171,842.31/12,590.61
  6. Step 6: Final answer
    x = 7,797.23

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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.