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Finding the Fourth Proportional to 11,817.70, 17,730.02 and 3,497.93

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Solution

The fourth proportional to 11,817.70, 17,730.02 and 3,497.93 is: 5,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.70 : 17,730.02 = 3,497.93 : x
  2. Step 2: Convert to fraction form
    11,817.70/17,730.02 = 3,497.93/x
  3. Step 3: Cross multiply
    11,817.70x = 17,730.02 × 3,497.93
  4. Step 4: Simplify right side
    11,817.70x = 62,018,455.17
  5. Step 5: Solve for x
    x = 62,018,455.17/11,817.70
  6. Step 6: Final answer
    x = 5,247.93

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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.