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Finding the Fourth Proportional to 11,470.63, 17,191.44 and 6,543.06

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Solution

The fourth proportional to 11,470.63, 17,191.44 and 6,543.06 is: 9,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.63 : 17,191.44 = 6,543.06 : x
  2. Step 2: Convert to fraction form
    11,470.63/17,191.44 = 6,543.06/x
  3. Step 3: Cross multiply
    11,470.63x = 17,191.44 × 6,543.06
  4. Step 4: Simplify right side
    11,470.63x = 112,484,623.41
  5. Step 5: Solve for x
    x = 112,484,623.41/11,470.63
  6. Step 6: Final answer
    x = 9,806.32

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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.