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Finding the Fourth Proportional to 7,407.80, 10,205.16 and 5,165.60

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Solution

The fourth proportional to 7,407.80, 10,205.16 and 5,165.60 is: 7,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.80 : 10,205.16 = 5,165.60 : x
  2. Step 2: Convert to fraction form
    7,407.80/10,205.16 = 5,165.60/x
  3. Step 3: Cross multiply
    7,407.80x = 10,205.16 × 5,165.60
  4. Step 4: Simplify right side
    7,407.80x = 52,715,774.50
  5. Step 5: Solve for x
    x = 52,715,774.50/7,407.80
  6. Step 6: Final answer
    x = 7,116.25

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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.