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Finding the Fourth Proportional to 10,709.30, 14,776.89 and 6,884.30

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Solution

The fourth proportional to 10,709.30, 14,776.89 and 6,884.30 is: 9,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.30 : 14,776.89 = 6,884.30 : x
  2. Step 2: Convert to fraction form
    10,709.30/14,776.89 = 6,884.30/x
  3. Step 3: Cross multiply
    10,709.30x = 14,776.89 × 6,884.30
  4. Step 4: Simplify right side
    10,709.30x = 101,728,543.83
  5. Step 5: Solve for x
    x = 101,728,543.83/10,709.30
  6. Step 6: Final answer
    x = 9,499.08

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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.