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Finding the Fourth Proportional to 8,329.68, 11,494.44 and 4,603.76

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Solution

The fourth proportional to 8,329.68, 11,494.44 and 4,603.76 is: 6,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.68 : 11,494.44 = 4,603.76 : x
  2. Step 2: Convert to fraction form
    8,329.68/11,494.44 = 4,603.76/x
  3. Step 3: Cross multiply
    8,329.68x = 11,494.44 × 4,603.76
  4. Step 4: Simplify right side
    8,329.68x = 52,917,643.09
  5. Step 5: Solve for x
    x = 52,917,643.09/8,329.68
  6. Step 6: Final answer
    x = 6,352.90

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