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Finding the Fourth Proportional to 8,307.84, 11,464.52 and 4,530.94

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Solution

The fourth proportional to 8,307.84, 11,464.52 and 4,530.94 is: 6,252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.84 : 11,464.52 = 4,530.94 : x
  2. Step 2: Convert to fraction form
    8,307.84/11,464.52 = 4,530.94/x
  3. Step 3: Cross multiply
    8,307.84x = 11,464.52 × 4,530.94
  4. Step 4: Simplify right side
    8,307.84x = 51,945,052.25
  5. Step 5: Solve for x
    x = 51,945,052.25/8,307.84
  6. Step 6: Final answer
    x = 6,252.53

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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.