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Finding the Fourth Proportional to 12,810.64, 17,675.68 and 7,774.75

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Solution

The fourth proportional to 12,810.64, 17,675.68 and 7,774.75 is: 10,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.64 : 17,675.68 = 7,774.75 : x
  2. Step 2: Convert to fraction form
    12,810.64/17,675.68 = 7,774.75/x
  3. Step 3: Cross multiply
    12,810.64x = 17,675.68 × 7,774.75
  4. Step 4: Simplify right side
    12,810.64x = 137,423,993.08
  5. Step 5: Solve for x
    x = 137,423,993.08/12,810.64
  6. Step 6: Final answer
    x = 10,727.33

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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.