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Finding the Fourth Proportional to 11,095.74, 16,643.66 and 6,475.50

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Solution

The fourth proportional to 11,095.74, 16,643.66 and 6,475.50 is: 9,713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,095.74 : 16,643.66 = 6,475.50 : x
  2. Step 2: Convert to fraction form
    11,095.74/16,643.66 = 6,475.50/x
  3. Step 3: Cross multiply
    11,095.74x = 16,643.66 × 6,475.50
  4. Step 4: Simplify right side
    11,095.74x = 107,775,987.95
  5. Step 5: Solve for x
    x = 107,775,987.95/11,095.74
  6. Step 6: Final answer
    x = 9,713.28

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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.