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Finding the Fourth Proportional to 11,302.93, 16,924.02 and 6,365.17

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Solution

The fourth proportional to 11,302.93, 16,924.02 and 6,365.17 is: 9,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.93 : 16,924.02 = 6,365.17 : x
  2. Step 2: Convert to fraction form
    11,302.93/16,924.02 = 6,365.17/x
  3. Step 3: Cross multiply
    11,302.93x = 16,924.02 × 6,365.17
  4. Step 4: Simplify right side
    11,302.93x = 107,724,264.38
  5. Step 5: Solve for x
    x = 107,724,264.38/11,302.93
  6. Step 6: Final answer
    x = 9,530.65

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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.