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Finding the Fourth Proportional to 7,111.64, 9,815.82 and 4,319.48

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Solution

The fourth proportional to 7,111.64, 9,815.82 and 4,319.48 is: 5,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.64 : 9,815.82 = 4,319.48 : x
  2. Step 2: Convert to fraction form
    7,111.64/9,815.82 = 4,319.48/x
  3. Step 3: Cross multiply
    7,111.64x = 9,815.82 × 4,319.48
  4. Step 4: Simplify right side
    7,111.64x = 42,399,238.17
  5. Step 5: Solve for x
    x = 42,399,238.17/7,111.64
  6. Step 6: Final answer
    x = 5,961.95

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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.