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Finding the Fourth Proportional to 10,814.34, 14,923.98 and 6,340.74

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Solution

The fourth proportional to 10,814.34, 14,923.98 and 6,340.74 is: 8,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.34 : 14,923.98 = 6,340.74 : x
  2. Step 2: Convert to fraction form
    10,814.34/14,923.98 = 6,340.74/x
  3. Step 3: Cross multiply
    10,814.34x = 14,923.98 × 6,340.74
  4. Step 4: Simplify right side
    10,814.34x = 94,629,076.95
  5. Step 5: Solve for x
    x = 94,629,076.95/10,814.34
  6. Step 6: Final answer
    x = 8,750.33

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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.