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Finding the Fourth Proportional to 10,880.91, 16,322.54 and 4,641.58

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Solution

The fourth proportional to 10,880.91, 16,322.54 and 4,641.58 is: 6,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.91 : 16,322.54 = 4,641.58 : x
  2. Step 2: Convert to fraction form
    10,880.91/16,322.54 = 4,641.58/x
  3. Step 3: Cross multiply
    10,880.91x = 16,322.54 × 4,641.58
  4. Step 4: Simplify right side
    10,880.91x = 75,762,339.56
  5. Step 5: Solve for x
    x = 75,762,339.56/10,880.91
  6. Step 6: Final answer
    x = 6,962.87

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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.