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Finding the Fourth Proportional to 11,867.47, 17,802.41 and 4,478.14

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Solution

The fourth proportional to 11,867.47, 17,802.41 and 4,478.14 is: 6,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.47 : 17,802.41 = 4,478.14 : x
  2. Step 2: Convert to fraction form
    11,867.47/17,802.41 = 4,478.14/x
  3. Step 3: Cross multiply
    11,867.47x = 17,802.41 × 4,478.14
  4. Step 4: Simplify right side
    11,867.47x = 79,721,684.32
  5. Step 5: Solve for x
    x = 79,721,684.32/11,867.47
  6. Step 6: Final answer
    x = 6,717.66

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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.