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Finding the Fourth Proportional to 7,927.20, 11,962.08 and 7,637.76

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Solution

The fourth proportional to 7,927.20, 11,962.08 and 7,637.76 is: 11,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.20 : 11,962.08 = 7,637.76 : x
  2. Step 2: Convert to fraction form
    7,927.20/11,962.08 = 7,637.76/x
  3. Step 3: Cross multiply
    7,927.20x = 11,962.08 × 7,637.76
  4. Step 4: Simplify right side
    7,927.20x = 91,363,496.14
  5. Step 5: Solve for x
    x = 91,363,496.14/7,927.20
  6. Step 6: Final answer
    x = 11,525.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.