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Finding the Fourth Proportional to 8,858.14, 13,292.66 and 3,664

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Solution

The fourth proportional to 8,858.14, 13,292.66 and 3,664 is: 5,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,858.14 : 13,292.66 = 3,664 : x
  2. Step 2: Convert to fraction form
    8,858.14/13,292.66 = 3,664/x
  3. Step 3: Cross multiply
    8,858.14x = 13,292.66 × 3,664
  4. Step 4: Simplify right side
    8,858.14x = 48,704,306.24
  5. Step 5: Solve for x
    x = 48,704,306.24/8,858.14
  6. Step 6: Final answer
    x = 5,498.25

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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.