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Finding the Fourth Proportional to 7,891.46, 11,822.00 and 4,931.06

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Solution

The fourth proportional to 7,891.46, 11,822.00 and 4,931.06 is: 7,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.46 : 11,822.00 = 4,931.06 : x
  2. Step 2: Convert to fraction form
    7,891.46/11,822.00 = 4,931.06/x
  3. Step 3: Cross multiply
    7,891.46x = 11,822.00 × 4,931.06
  4. Step 4: Simplify right side
    7,891.46x = 58,295,008.55
  5. Step 5: Solve for x
    x = 58,295,008.55/7,891.46
  6. Step 6: Final answer
    x = 7,387.11

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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.