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Finding the Fourth Proportional to 12,962.90, 17,889.14 and 7,297.86

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Solution

The fourth proportional to 12,962.90, 17,889.14 and 7,297.86 is: 10,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.90 : 17,889.14 = 7,297.86 : x
  2. Step 2: Convert to fraction form
    12,962.90/17,889.14 = 7,297.86/x
  3. Step 3: Cross multiply
    12,962.90x = 17,889.14 × 7,297.86
  4. Step 4: Simplify right side
    12,962.90x = 130,552,439.24
  5. Step 5: Solve for x
    x = 130,552,439.24/12,962.90
  6. Step 6: Final answer
    x = 10,071.24

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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.