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Finding the Fourth Proportional to 7,390.58, 10,202.76 and 5,708.22

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Solution

The fourth proportional to 7,390.58, 10,202.76 and 5,708.22 is: 7,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.58 : 10,202.76 = 5,708.22 : x
  2. Step 2: Convert to fraction form
    7,390.58/10,202.76 = 5,708.22/x
  3. Step 3: Cross multiply
    7,390.58x = 10,202.76 × 5,708.22
  4. Step 4: Simplify right side
    7,390.58x = 58,239,598.69
  5. Step 5: Solve for x
    x = 58,239,598.69/7,390.58
  6. Step 6: Final answer
    x = 7,880.25

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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.