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Finding the Fourth Proportional to 7,837.58, 11,737.74 and 4,322.18

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Solution

The fourth proportional to 7,837.58, 11,737.74 and 4,322.18 is: 6,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.58 : 11,737.74 = 4,322.18 : x
  2. Step 2: Convert to fraction form
    7,837.58/11,737.74 = 4,322.18/x
  3. Step 3: Cross multiply
    7,837.58x = 11,737.74 × 4,322.18
  4. Step 4: Simplify right side
    7,837.58x = 50,732,625.07
  5. Step 5: Solve for x
    x = 50,732,625.07/7,837.58
  6. Step 6: Final answer
    x = 6,473.00

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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.