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Finding the Fourth Proportional to 10,816.86, 14,924.22 and 7,237.08

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Solution

The fourth proportional to 10,816.86, 14,924.22 and 7,237.08 is: 9,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.86 : 14,924.22 = 7,237.08 : x
  2. Step 2: Convert to fraction form
    10,816.86/14,924.22 = 7,237.08/x
  3. Step 3: Cross multiply
    10,816.86x = 14,924.22 × 7,237.08
  4. Step 4: Simplify right side
    10,816.86x = 108,007,774.08
  5. Step 5: Solve for x
    x = 108,007,774.08/10,816.86
  6. Step 6: Final answer
    x = 9,985.13

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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.