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Finding the Fourth Proportional to 8,501.84, 11,730.71 and 4,963.44

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Solution

The fourth proportional to 8,501.84, 11,730.71 and 4,963.44 is: 6,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.84 : 11,730.71 = 4,963.44 : x
  2. Step 2: Convert to fraction form
    8,501.84/11,730.71 = 4,963.44/x
  3. Step 3: Cross multiply
    8,501.84x = 11,730.71 × 4,963.44
  4. Step 4: Simplify right side
    8,501.84x = 58,224,687.65
  5. Step 5: Solve for x
    x = 58,224,687.65/8,501.84
  6. Step 6: Final answer
    x = 6,848.48

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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.