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Finding the Fourth Proportional to 8,301.52, 11,456.18 and 4,946

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Solution

The fourth proportional to 8,301.52, 11,456.18 and 4,946 is: 6,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.52 : 11,456.18 = 4,946 : x
  2. Step 2: Convert to fraction form
    8,301.52/11,456.18 = 4,946/x
  3. Step 3: Cross multiply
    8,301.52x = 11,456.18 × 4,946
  4. Step 4: Simplify right side
    8,301.52x = 56,662,266.28
  5. Step 5: Solve for x
    x = 56,662,266.28/8,301.52
  6. Step 6: Final answer
    x = 6,825.53

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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.