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Finding the Fourth Proportional to 7,731.61, 10,665.63 and 4,894.18

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Solution

The fourth proportional to 7,731.61, 10,665.63 and 4,894.18 is: 6,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.61 : 10,665.63 = 4,894.18 : x
  2. Step 2: Convert to fraction form
    7,731.61/10,665.63 = 4,894.18/x
  3. Step 3: Cross multiply
    7,731.61x = 10,665.63 × 4,894.18
  4. Step 4: Simplify right side
    7,731.61x = 52,199,513.03
  5. Step 5: Solve for x
    x = 52,199,513.03/7,731.61
  6. Step 6: Final answer
    x = 6,751.44

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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.