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Finding the Fourth Proportional to 10,454.59, 14,425.18 and 6,205.06

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Solution

The fourth proportional to 10,454.59, 14,425.18 and 6,205.06 is: 8,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.59 : 14,425.18 = 6,205.06 : x
  2. Step 2: Convert to fraction form
    10,454.59/14,425.18 = 6,205.06/x
  3. Step 3: Cross multiply
    10,454.59x = 14,425.18 × 6,205.06
  4. Step 4: Simplify right side
    10,454.59x = 89,509,107.41
  5. Step 5: Solve for x
    x = 89,509,107.41/10,454.59
  6. Step 6: Final answer
    x = 8,561.70

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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.