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Finding the Fourth Proportional to 7,650.40, 10,559.82 and 4,507.60

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Solution

The fourth proportional to 7,650.40, 10,559.82 and 4,507.60 is: 6,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.40 : 10,559.82 = 4,507.60 : x
  2. Step 2: Convert to fraction form
    7,650.40/10,559.82 = 4,507.60/x
  3. Step 3: Cross multiply
    7,650.40x = 10,559.82 × 4,507.60
  4. Step 4: Simplify right side
    7,650.40x = 47,599,444.63
  5. Step 5: Solve for x
    x = 47,599,444.63/7,650.40
  6. Step 6: Final answer
    x = 6,221.82

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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.