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Finding the Fourth Proportional to 11,756.24, 17,607.48 and 7,639.76

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Solution

The fourth proportional to 11,756.24, 17,607.48 and 7,639.76 is: 11,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.24 : 17,607.48 = 7,639.76 : x
  2. Step 2: Convert to fraction form
    11,756.24/17,607.48 = 7,639.76/x
  3. Step 3: Cross multiply
    11,756.24x = 17,607.48 × 7,639.76
  4. Step 4: Simplify right side
    11,756.24x = 134,516,921.40
  5. Step 5: Solve for x
    x = 134,516,921.40/11,756.24
  6. Step 6: Final answer
    x = 11,442.17

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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.