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Finding the Fourth Proportional to 10,771.53, 14,863.95 and 6,056.52

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Solution

The fourth proportional to 10,771.53, 14,863.95 and 6,056.52 is: 8,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.53 : 14,863.95 = 6,056.52 : x
  2. Step 2: Convert to fraction form
    10,771.53/14,863.95 = 6,056.52/x
  3. Step 3: Cross multiply
    10,771.53x = 14,863.95 × 6,056.52
  4. Step 4: Simplify right side
    10,771.53x = 90,023,810.45
  5. Step 5: Solve for x
    x = 90,023,810.45/10,771.53
  6. Step 6: Final answer
    x = 8,357.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.