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Finding the Fourth Proportional to 7,648.56, 10,552.60 and 4,505.84

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Solution

The fourth proportional to 7,648.56, 10,552.60 and 4,505.84 is: 6,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.56 : 10,552.60 = 4,505.84 : x
  2. Step 2: Convert to fraction form
    7,648.56/10,552.60 = 4,505.84/x
  3. Step 3: Cross multiply
    7,648.56x = 10,552.60 × 4,505.84
  4. Step 4: Simplify right side
    7,648.56x = 47,548,327.18
  5. Step 5: Solve for x
    x = 47,548,327.18/7,648.56
  6. Step 6: Final answer
    x = 6,216.64

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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.