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Finding the Fourth Proportional to 10,814.14, 14,923.53 and 6,034.45

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Solution

The fourth proportional to 10,814.14, 14,923.53 and 6,034.45 is: 8,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.14 : 14,923.53 = 6,034.45 : x
  2. Step 2: Convert to fraction form
    10,814.14/14,923.53 = 6,034.45/x
  3. Step 3: Cross multiply
    10,814.14x = 14,923.53 × 6,034.45
  4. Step 4: Simplify right side
    10,814.14x = 90,055,295.61
  5. Step 5: Solve for x
    x = 90,055,295.61/10,814.14
  6. Step 6: Final answer
    x = 8,327.55

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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.