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Finding the Fourth Proportional to 7,427.67, 10,228.58 and 6,952.80

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Solution

The fourth proportional to 7,427.67, 10,228.58 and 6,952.80 is: 9,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.67 : 10,228.58 = 6,952.80 : x
  2. Step 2: Convert to fraction form
    7,427.67/10,228.58 = 6,952.80/x
  3. Step 3: Cross multiply
    7,427.67x = 10,228.58 × 6,952.80
  4. Step 4: Simplify right side
    7,427.67x = 71,117,275.37
  5. Step 5: Solve for x
    x = 71,117,275.37/7,427.67
  6. Step 6: Final answer
    x = 9,574.64

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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.