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Finding the Fourth Proportional to 11,700, 17,545.33 and 6,773.11

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Solution

The fourth proportional to 11,700, 17,545.33 and 6,773.11 is: 10,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 17,545.33 = 6,773.11 : x
  2. Step 2: Convert to fraction form
    11,700/17,545.33 = 6,773.11/x
  3. Step 3: Cross multiply
    11,700x = 17,545.33 × 6,773.11
  4. Step 4: Simplify right side
    11,700x = 118,836,328.48
  5. Step 5: Solve for x
    x = 118,836,328.48/11,700
  6. Step 6: Final answer
    x = 10,156.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.