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Finding the Fourth Proportional to 11,214.60, 15,476.07 and 6,178.70

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Solution

The fourth proportional to 11,214.60, 15,476.07 and 6,178.70 is: 8,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.60 : 15,476.07 = 6,178.70 : x
  2. Step 2: Convert to fraction form
    11,214.60/15,476.07 = 6,178.70/x
  3. Step 3: Cross multiply
    11,214.60x = 15,476.07 × 6,178.70
  4. Step 4: Simplify right side
    11,214.60x = 95,622,020.81
  5. Step 5: Solve for x
    x = 95,622,020.81/11,214.60
  6. Step 6: Final answer
    x = 8,526.57

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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.