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Finding the Fourth Proportional to 11,807.01, 16,294.02 and 6,502.01

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Solution

The fourth proportional to 11,807.01, 16,294.02 and 6,502.01 is: 8,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.01 : 16,294.02 = 6,502.01 : x
  2. Step 2: Convert to fraction form
    11,807.01/16,294.02 = 6,502.01/x
  3. Step 3: Cross multiply
    11,807.01x = 16,294.02 × 6,502.01
  4. Step 4: Simplify right side
    11,807.01x = 105,943,799.51
  5. Step 5: Solve for x
    x = 105,943,799.51/11,807.01
  6. Step 6: Final answer
    x = 8,972.96

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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.