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Finding the Fourth Proportional to 11,964.30, 16,510.94 and 6,586.93

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Solution

The fourth proportional to 11,964.30, 16,510.94 and 6,586.93 is: 9,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.30 : 16,510.94 = 6,586.93 : x
  2. Step 2: Convert to fraction form
    11,964.30/16,510.94 = 6,586.93/x
  3. Step 3: Cross multiply
    11,964.30x = 16,510.94 × 6,586.93
  4. Step 4: Simplify right side
    11,964.30x = 108,756,406.01
  5. Step 5: Solve for x
    x = 108,756,406.01/11,964.30
  6. Step 6: Final answer
    x = 9,090.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.