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Finding the Fourth Proportional to 8,496.60, 11,722.38 and 5,307.72

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Solution

The fourth proportional to 8,496.60, 11,722.38 and 5,307.72 is: 7,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.60 : 11,722.38 = 5,307.72 : x
  2. Step 2: Convert to fraction form
    8,496.60/11,722.38 = 5,307.72/x
  3. Step 3: Cross multiply
    8,496.60x = 11,722.38 × 5,307.72
  4. Step 4: Simplify right side
    8,496.60x = 62,219,110.77
  5. Step 5: Solve for x
    x = 62,219,110.77/8,496.60
  6. Step 6: Final answer
    x = 7,322.82

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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.