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Finding the Fourth Proportional to 12,962.76, 17,888.22 and 7,297.82

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Solution

The fourth proportional to 12,962.76, 17,888.22 and 7,297.82 is: 10,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.76 : 17,888.22 = 7,297.82 : x
  2. Step 2: Convert to fraction form
    12,962.76/17,888.22 = 7,297.82/x
  3. Step 3: Cross multiply
    12,962.76x = 17,888.22 × 7,297.82
  4. Step 4: Simplify right side
    12,962.76x = 130,545,009.68
  5. Step 5: Solve for x
    x = 130,545,009.68/12,962.76
  6. Step 6: Final answer
    x = 10,070.77

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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.