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Finding the Fourth Proportional to 7,403.58, 10,202.88 and 5,304.06

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Solution

The fourth proportional to 7,403.58, 10,202.88 and 5,304.06 is: 7,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.58 : 10,202.88 = 5,304.06 : x
  2. Step 2: Convert to fraction form
    7,403.58/10,202.88 = 5,304.06/x
  3. Step 3: Cross multiply
    7,403.58x = 10,202.88 × 5,304.06
  4. Step 4: Simplify right side
    7,403.58x = 54,116,687.69
  5. Step 5: Solve for x
    x = 54,116,687.69/7,403.58
  6. Step 6: Final answer
    x = 7,309.53

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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.