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Finding the Fourth Proportional to 7,158.33, 10,724.13 and 6,386.13

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Solution

The fourth proportional to 7,158.33, 10,724.13 and 6,386.13 is: 9,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.33 : 10,724.13 = 6,386.13 : x
  2. Step 2: Convert to fraction form
    7,158.33/10,724.13 = 6,386.13/x
  3. Step 3: Cross multiply
    7,158.33x = 10,724.13 × 6,386.13
  4. Step 4: Simplify right side
    7,158.33x = 68,485,688.32
  5. Step 5: Solve for x
    x = 68,485,688.32/7,158.33
  6. Step 6: Final answer
    x = 9,567.27

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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.