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Finding the Fourth Proportional to 11,802.41, 17,721.06 and 7,878.12

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Solution

The fourth proportional to 11,802.41, 17,721.06 and 7,878.12 is: 11,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.41 : 17,721.06 = 7,878.12 : x
  2. Step 2: Convert to fraction form
    11,802.41/17,721.06 = 7,878.12/x
  3. Step 3: Cross multiply
    11,802.41x = 17,721.06 × 7,878.12
  4. Step 4: Simplify right side
    11,802.41x = 139,608,585.52
  5. Step 5: Solve for x
    x = 139,608,585.52/11,802.41
  6. Step 6: Final answer
    x = 11,828.82

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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.