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Finding the Fourth Proportional to 11,639.40, 17,459.28 and 7,715.86

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Solution

The fourth proportional to 11,639.40, 17,459.28 and 7,715.86 is: 11,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.40 : 17,459.28 = 7,715.86 : x
  2. Step 2: Convert to fraction form
    11,639.40/17,459.28 = 7,715.86/x
  3. Step 3: Cross multiply
    11,639.40x = 17,459.28 × 7,715.86
  4. Step 4: Simplify right side
    11,639.40x = 134,713,360.18
  5. Step 5: Solve for x
    x = 134,713,360.18/11,639.40
  6. Step 6: Final answer
    x = 11,573.91

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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.