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Finding the Fourth Proportional to 7,245.59, 10,854.14 and 4,116.22

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Solution

The fourth proportional to 7,245.59, 10,854.14 and 4,116.22 is: 6,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.59 : 10,854.14 = 4,116.22 : x
  2. Step 2: Convert to fraction form
    7,245.59/10,854.14 = 4,116.22/x
  3. Step 3: Cross multiply
    7,245.59x = 10,854.14 × 4,116.22
  4. Step 4: Simplify right side
    7,245.59x = 44,677,980.43
  5. Step 5: Solve for x
    x = 44,677,980.43/7,245.59
  6. Step 6: Final answer
    x = 6,166.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.