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Finding the Fourth Proportional to 10,435.74, 14,392.80 and 6,453.06

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Solution

The fourth proportional to 10,435.74, 14,392.80 and 6,453.06 is: 8,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.74 : 14,392.80 = 6,453.06 : x
  2. Step 2: Convert to fraction form
    10,435.74/14,392.80 = 6,453.06/x
  3. Step 3: Cross multiply
    10,435.74x = 14,392.80 × 6,453.06
  4. Step 4: Simplify right side
    10,435.74x = 92,877,601.97
  5. Step 5: Solve for x
    x = 92,877,601.97/10,435.74
  6. Step 6: Final answer
    x = 8,899.95

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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.