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Finding the Fourth Proportional to 7,973, 11,002.74 and 4,661

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Solution

The fourth proportional to 7,973, 11,002.74 and 4,661 is: 6,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973 : 11,002.74 = 4,661 : x
  2. Step 2: Convert to fraction form
    7,973/11,002.74 = 4,661/x
  3. Step 3: Cross multiply
    7,973x = 11,002.74 × 4,661
  4. Step 4: Simplify right side
    7,973x = 51,283,771.14
  5. Step 5: Solve for x
    x = 51,283,771.14/7,973
  6. Step 6: Final answer
    x = 6,432.18

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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.