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Finding the Fourth Proportional to 8,815.70, 12,133.32 and 7,733

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Solution

The fourth proportional to 8,815.70, 12,133.32 and 7,733 is: 10,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815.70 : 12,133.32 = 7,733 : x
  2. Step 2: Convert to fraction form
    8,815.70/12,133.32 = 7,733/x
  3. Step 3: Cross multiply
    8,815.70x = 12,133.32 × 7,733
  4. Step 4: Simplify right side
    8,815.70x = 93,826,963.56
  5. Step 5: Solve for x
    x = 93,826,963.56/8,815.70
  6. Step 6: Final answer
    x = 10,643.17

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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.