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Finding the Fourth Proportional to 8,746, 13,121.56 and 2,590.16

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Solution

The fourth proportional to 8,746, 13,121.56 and 2,590.16 is: 3,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746 : 13,121.56 = 2,590.16 : x
  2. Step 2: Convert to fraction form
    8,746/13,121.56 = 2,590.16/x
  3. Step 3: Cross multiply
    8,746x = 13,121.56 × 2,590.16
  4. Step 4: Simplify right side
    8,746x = 33,986,939.85
  5. Step 5: Solve for x
    x = 33,986,939.85/8,746
  6. Step 6: Final answer
    x = 3,886.00

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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.