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Finding the Fourth Proportional to 12,590.16, 18,884.16 and 5,192.80

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Solution

The fourth proportional to 12,590.16, 18,884.16 and 5,192.80 is: 7,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.16 : 18,884.16 = 5,192.80 : x
  2. Step 2: Convert to fraction form
    12,590.16/18,884.16 = 5,192.80/x
  3. Step 3: Cross multiply
    12,590.16x = 18,884.16 × 5,192.80
  4. Step 4: Simplify right side
    12,590.16x = 98,061,666.05
  5. Step 5: Solve for x
    x = 98,061,666.05/12,590.16
  6. Step 6: Final answer
    x = 7,788.75

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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.