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Finding the Fourth Proportional to 10,356.16, 15,539.73 and 7,906.72

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Solution

The fourth proportional to 10,356.16, 15,539.73 and 7,906.72 is: 11,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.16 : 15,539.73 = 7,906.72 : x
  2. Step 2: Convert to fraction form
    10,356.16/15,539.73 = 7,906.72/x
  3. Step 3: Cross multiply
    10,356.16x = 15,539.73 × 7,906.72
  4. Step 4: Simplify right side
    10,356.16x = 122,868,293.99
  5. Step 5: Solve for x
    x = 122,868,293.99/10,356.16
  6. Step 6: Final answer
    x = 11,864.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.