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Finding the Fourth Proportional to 8,476.32, 11,697.74 and 5,119.07

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Solution

The fourth proportional to 8,476.32, 11,697.74 and 5,119.07 is: 7,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.32 : 11,697.74 = 5,119.07 : x
  2. Step 2: Convert to fraction form
    8,476.32/11,697.74 = 5,119.07/x
  3. Step 3: Cross multiply
    8,476.32x = 11,697.74 × 5,119.07
  4. Step 4: Simplify right side
    8,476.32x = 59,881,465.82
  5. Step 5: Solve for x
    x = 59,881,465.82/8,476.32
  6. Step 6: Final answer
    x = 7,064.56

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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.