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Finding the Fourth Proportional to 11,802.72, 17,666.64 and 6,592.80

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Solution

The fourth proportional to 11,802.72, 17,666.64 and 6,592.80 is: 9,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.72 : 17,666.64 = 6,592.80 : x
  2. Step 2: Convert to fraction form
    11,802.72/17,666.64 = 6,592.80/x
  3. Step 3: Cross multiply
    11,802.72x = 17,666.64 × 6,592.80
  4. Step 4: Simplify right side
    11,802.72x = 116,472,624.19
  5. Step 5: Solve for x
    x = 116,472,624.19/11,802.72
  6. Step 6: Final answer
    x = 9,868.29

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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.