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Finding the Fourth Proportional to 11,848.92, 16,351.47 and 7,133.46

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Solution

The fourth proportional to 11,848.92, 16,351.47 and 7,133.46 is: 9,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.92 : 16,351.47 = 7,133.46 : x
  2. Step 2: Convert to fraction form
    11,848.92/16,351.47 = 7,133.46/x
  3. Step 3: Cross multiply
    11,848.92x = 16,351.47 × 7,133.46
  4. Step 4: Simplify right side
    11,848.92x = 116,642,557.19
  5. Step 5: Solve for x
    x = 116,642,557.19/11,848.92
  6. Step 6: Final answer
    x = 9,844.15

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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.