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Finding the Fourth Proportional to 8,506.95, 12,764.07 and 2,957.26

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Solution

The fourth proportional to 8,506.95, 12,764.07 and 2,957.26 is: 4,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.95 : 12,764.07 = 2,957.26 : x
  2. Step 2: Convert to fraction form
    8,506.95/12,764.07 = 2,957.26/x
  3. Step 3: Cross multiply
    8,506.95x = 12,764.07 × 2,957.26
  4. Step 4: Simplify right side
    8,506.95x = 37,746,673.65
  5. Step 5: Solve for x
    x = 37,746,673.65/8,506.95
  6. Step 6: Final answer
    x = 4,437.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.