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Finding the Fourth Proportional to 7,853.53, 11,764.90 and 4,559.71

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Solution

The fourth proportional to 7,853.53, 11,764.90 and 4,559.71 is: 6,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.53 : 11,764.90 = 4,559.71 : x
  2. Step 2: Convert to fraction form
    7,853.53/11,764.90 = 4,559.71/x
  3. Step 3: Cross multiply
    7,853.53x = 11,764.90 × 4,559.71
  4. Step 4: Simplify right side
    7,853.53x = 53,644,532.18
  5. Step 5: Solve for x
    x = 53,644,532.18/7,853.53
  6. Step 6: Final answer
    x = 6,830.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.