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Finding the Fourth Proportional to 11,715.76, 17,572.74 and 4,318.84

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Solution

The fourth proportional to 11,715.76, 17,572.74 and 4,318.84 is: 6,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.76 : 17,572.74 = 4,318.84 : x
  2. Step 2: Convert to fraction form
    11,715.76/17,572.74 = 4,318.84/x
  3. Step 3: Cross multiply
    11,715.76x = 17,572.74 × 4,318.84
  4. Step 4: Simplify right side
    11,715.76x = 75,893,852.42
  5. Step 5: Solve for x
    x = 75,893,852.42/11,715.76
  6. Step 6: Final answer
    x = 6,477.93

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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.