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Finding the Fourth Proportional to 11,553.76, 15,943.06 and 6,518.76

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Solution

The fourth proportional to 11,553.76, 15,943.06 and 6,518.76 is: 8,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.76 : 15,943.06 = 6,518.76 : x
  2. Step 2: Convert to fraction form
    11,553.76/15,943.06 = 6,518.76/x
  3. Step 3: Cross multiply
    11,553.76x = 15,943.06 × 6,518.76
  4. Step 4: Simplify right side
    11,553.76x = 103,928,981.81
  5. Step 5: Solve for x
    x = 103,928,981.81/11,553.76
  6. Step 6: Final answer
    x = 8,995.25

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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.