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Finding the Fourth Proportional to 8,966.25, 13,451.54 and 2,810.25

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Solution

The fourth proportional to 8,966.25, 13,451.54 and 2,810.25 is: 4,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.25 : 13,451.54 = 2,810.25 : x
  2. Step 2: Convert to fraction form
    8,966.25/13,451.54 = 2,810.25/x
  3. Step 3: Cross multiply
    8,966.25x = 13,451.54 × 2,810.25
  4. Step 4: Simplify right side
    8,966.25x = 37,802,176.23
  5. Step 5: Solve for x
    x = 37,802,176.23/8,966.25
  6. Step 6: Final answer
    x = 4,216.05

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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.