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Finding the Fourth Proportional to 10,814.79, 14,924.09 and 6,034.86

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Solution

The fourth proportional to 10,814.79, 14,924.09 and 6,034.86 is: 8,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.79 : 14,924.09 = 6,034.86 : x
  2. Step 2: Convert to fraction form
    10,814.79/14,924.09 = 6,034.86/x
  3. Step 3: Cross multiply
    10,814.79x = 14,924.09 × 6,034.86
  4. Step 4: Simplify right side
    10,814.79x = 90,064,763.60
  5. Step 5: Solve for x
    x = 90,064,763.60/10,814.79
  6. Step 6: Final answer
    x = 8,327.93

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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.