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Finding the Fourth Proportional to 7,648.29, 11,476.62 and 2,968.49

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Solution

The fourth proportional to 7,648.29, 11,476.62 and 2,968.49 is: 4,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.29 : 11,476.62 = 2,968.49 : x
  2. Step 2: Convert to fraction form
    7,648.29/11,476.62 = 2,968.49/x
  3. Step 3: Cross multiply
    7,648.29x = 11,476.62 × 2,968.49
  4. Step 4: Simplify right side
    7,648.29x = 34,068,159.48
  5. Step 5: Solve for x
    x = 34,068,159.48/7,648.29
  6. Step 6: Final answer
    x = 4,454.35

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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.