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Finding the Fourth Proportional to 7,838.96, 10,817.97 and 4,482.32

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Solution

The fourth proportional to 7,838.96, 10,817.97 and 4,482.32 is: 6,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.96 : 10,817.97 = 4,482.32 : x
  2. Step 2: Convert to fraction form
    7,838.96/10,817.97 = 4,482.32/x
  3. Step 3: Cross multiply
    7,838.96x = 10,817.97 × 4,482.32
  4. Step 4: Simplify right side
    7,838.96x = 48,489,603.29
  5. Step 5: Solve for x
    x = 48,489,603.29/7,838.96
  6. Step 6: Final answer
    x = 6,185.72

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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.