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Finding the Fourth Proportional to 8,942.88, 13,335.36 and 7,718.16

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Solution

The fourth proportional to 8,942.88, 13,335.36 and 7,718.16 is: 11,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.88 : 13,335.36 = 7,718.16 : x
  2. Step 2: Convert to fraction form
    8,942.88/13,335.36 = 7,718.16/x
  3. Step 3: Cross multiply
    8,942.88x = 13,335.36 × 7,718.16
  4. Step 4: Simplify right side
    8,942.88x = 102,924,442.14
  5. Step 5: Solve for x
    x = 102,924,442.14/8,942.88
  6. Step 6: Final answer
    x = 11,509.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.