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Finding the Fourth Proportional to 11,389.41, 15,712.65 and 6,911.46

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Solution

The fourth proportional to 11,389.41, 15,712.65 and 6,911.46 is: 9,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.41 : 15,712.65 = 6,911.46 : x
  2. Step 2: Convert to fraction form
    11,389.41/15,712.65 = 6,911.46/x
  3. Step 3: Cross multiply
    11,389.41x = 15,712.65 × 6,911.46
  4. Step 4: Simplify right side
    11,389.41x = 108,597,351.97
  5. Step 5: Solve for x
    x = 108,597,351.97/11,389.41
  6. Step 6: Final answer
    x = 9,534.94

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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.