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Finding the Fourth Proportional to 8,703.75, 13,057.80 and 2,547.75

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Solution

The fourth proportional to 8,703.75, 13,057.80 and 2,547.75 is: 3,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.75 : 13,057.80 = 2,547.75 : x
  2. Step 2: Convert to fraction form
    8,703.75/13,057.80 = 2,547.75/x
  3. Step 3: Cross multiply
    8,703.75x = 13,057.80 × 2,547.75
  4. Step 4: Simplify right side
    8,703.75x = 33,268,009.95
  5. Step 5: Solve for x
    x = 33,268,009.95/8,703.75
  6. Step 6: Final answer
    x = 3,822.26

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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.