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Finding the Fourth Proportional to 8,802.88, 12,147.97 and 4,824

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Solution

The fourth proportional to 8,802.88, 12,147.97 and 4,824 is: 6,657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.88 : 12,147.97 = 4,824 : x
  2. Step 2: Convert to fraction form
    8,802.88/12,147.97 = 4,824/x
  3. Step 3: Cross multiply
    8,802.88x = 12,147.97 × 4,824
  4. Step 4: Simplify right side
    8,802.88x = 58,601,807.28
  5. Step 5: Solve for x
    x = 58,601,807.28/8,802.88
  6. Step 6: Final answer
    x = 6,657.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.