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Finding the Fourth Proportional to 10,876.64, 16,320.40 and 4,308.36

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Solution

The fourth proportional to 10,876.64, 16,320.40 and 4,308.36 is: 6,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.64 : 16,320.40 = 4,308.36 : x
  2. Step 2: Convert to fraction form
    10,876.64/16,320.40 = 4,308.36/x
  3. Step 3: Cross multiply
    10,876.64x = 16,320.40 × 4,308.36
  4. Step 4: Simplify right side
    10,876.64x = 70,314,158.54
  5. Step 5: Solve for x
    x = 70,314,158.54/10,876.64
  6. Step 6: Final answer
    x = 6,464.69

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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.