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Finding the Fourth Proportional to 11,666.72, 17,510.20 and 6,123.98

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Solution

The fourth proportional to 11,666.72, 17,510.20 and 6,123.98 is: 9,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.72 : 17,510.20 = 6,123.98 : x
  2. Step 2: Convert to fraction form
    11,666.72/17,510.20 = 6,123.98/x
  3. Step 3: Cross multiply
    11,666.72x = 17,510.20 × 6,123.98
  4. Step 4: Simplify right side
    11,666.72x = 107,232,143.06
  5. Step 5: Solve for x
    x = 107,232,143.06/11,666.72
  6. Step 6: Final answer
    x = 9,191.28

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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.