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Finding the Fourth Proportional to 7,605.12, 10,486.80 and 4,947.60

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Solution

The fourth proportional to 7,605.12, 10,486.80 and 4,947.60 is: 6,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.12 : 10,486.80 = 4,947.60 : x
  2. Step 2: Convert to fraction form
    7,605.12/10,486.80 = 4,947.60/x
  3. Step 3: Cross multiply
    7,605.12x = 10,486.80 × 4,947.60
  4. Step 4: Simplify right side
    7,605.12x = 51,884,491.68
  5. Step 5: Solve for x
    x = 51,884,491.68/7,605.12
  6. Step 6: Final answer
    x = 6,822.31

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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.