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Finding the Fourth Proportional to 11,426.16, 15,767.28 and 6,709.80

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Solution

The fourth proportional to 11,426.16, 15,767.28 and 6,709.80 is: 9,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.16 : 15,767.28 = 6,709.80 : x
  2. Step 2: Convert to fraction form
    11,426.16/15,767.28 = 6,709.80/x
  3. Step 3: Cross multiply
    11,426.16x = 15,767.28 × 6,709.80
  4. Step 4: Simplify right side
    11,426.16x = 105,795,295.34
  5. Step 5: Solve for x
    x = 105,795,295.34/11,426.16
  6. Step 6: Final answer
    x = 9,259.04

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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.