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Finding the Fourth Proportional to 7,973, 11,955.52 and 4,642.35

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Solution

The fourth proportional to 7,973, 11,955.52 and 4,642.35 is: 6,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973 : 11,955.52 = 4,642.35 : x
  2. Step 2: Convert to fraction form
    7,973/11,955.52 = 4,642.35/x
  3. Step 3: Cross multiply
    7,973x = 11,955.52 × 4,642.35
  4. Step 4: Simplify right side
    7,973x = 55,501,625.28
  5. Step 5: Solve for x
    x = 55,501,625.28/7,973
  6. Step 6: Final answer
    x = 6,961.20

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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.