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Finding the Fourth Proportional to 7,948.24, 11,915.07 and 4,048.09

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Solution

The fourth proportional to 7,948.24, 11,915.07 and 4,048.09 is: 6,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.24 : 11,915.07 = 4,048.09 : x
  2. Step 2: Convert to fraction form
    7,948.24/11,915.07 = 4,048.09/x
  3. Step 3: Cross multiply
    7,948.24x = 11,915.07 × 4,048.09
  4. Step 4: Simplify right side
    7,948.24x = 48,233,275.72
  5. Step 5: Solve for x
    x = 48,233,275.72/7,948.24
  6. Step 6: Final answer
    x = 6,068.42

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