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Finding the Fourth Proportional to 11,807.04, 16,292.73 and 6,502.14

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Solution

The fourth proportional to 11,807.04, 16,292.73 and 6,502.14 is: 8,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.04 : 16,292.73 = 6,502.14 : x
  2. Step 2: Convert to fraction form
    11,807.04/16,292.73 = 6,502.14/x
  3. Step 3: Cross multiply
    11,807.04x = 16,292.73 × 6,502.14
  4. Step 4: Simplify right side
    11,807.04x = 105,937,611.44
  5. Step 5: Solve for x
    x = 105,937,611.44/11,807.04
  6. Step 6: Final answer
    x = 8,972.41

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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.