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Finding the Fourth Proportional to 12,580.11, 17,360.74 and 6,915.09

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Solution

The fourth proportional to 12,580.11, 17,360.74 and 6,915.09 is: 9,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.11 : 17,360.74 = 6,915.09 : x
  2. Step 2: Convert to fraction form
    12,580.11/17,360.74 = 6,915.09/x
  3. Step 3: Cross multiply
    12,580.11x = 17,360.74 × 6,915.09
  4. Step 4: Simplify right side
    12,580.11x = 120,051,153.31
  5. Step 5: Solve for x
    x = 120,051,153.31/12,580.11
  6. Step 6: Final answer
    x = 9,542.94

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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.