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Finding the Fourth Proportional to 11,700.72, 17,535.51 and 6,427.80

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Solution

The fourth proportional to 11,700.72, 17,535.51 and 6,427.80 is: 9,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.72 : 17,535.51 = 6,427.80 : x
  2. Step 2: Convert to fraction form
    11,700.72/17,535.51 = 6,427.80/x
  3. Step 3: Cross multiply
    11,700.72x = 17,535.51 × 6,427.80
  4. Step 4: Simplify right side
    11,700.72x = 112,714,751.18
  5. Step 5: Solve for x
    x = 112,714,751.18/11,700.72
  6. Step 6: Final answer
    x = 9,633.15

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