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Finding the Fourth Proportional to 7,230.40, 10,829.40 and 6,258.40

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Solution

The fourth proportional to 7,230.40, 10,829.40 and 6,258.40 is: 9,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.40 : 10,829.40 = 6,258.40 : x
  2. Step 2: Convert to fraction form
    7,230.40/10,829.40 = 6,258.40/x
  3. Step 3: Cross multiply
    7,230.40x = 10,829.40 × 6,258.40
  4. Step 4: Simplify right side
    7,230.40x = 67,774,716.96
  5. Step 5: Solve for x
    x = 67,774,716.96/7,230.40
  6. Step 6: Final answer
    x = 9,373.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.