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Finding the Fourth Proportional to 7,119.72, 9,828.81 and 4,882.50

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Solution

The fourth proportional to 7,119.72, 9,828.81 and 4,882.50 is: 6,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.72 : 9,828.81 = 4,882.50 : x
  2. Step 2: Convert to fraction form
    7,119.72/9,828.81 = 4,882.50/x
  3. Step 3: Cross multiply
    7,119.72x = 9,828.81 × 4,882.50
  4. Step 4: Simplify right side
    7,119.72x = 47,989,164.83
  5. Step 5: Solve for x
    x = 47,989,164.83/7,119.72
  6. Step 6: Final answer
    x = 6,740.32

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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.