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Finding the Fourth Proportional to 7,119.12, 9,824.32 and 4,288.08

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Solution

The fourth proportional to 7,119.12, 9,824.32 and 4,288.08 is: 5,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.12 : 9,824.32 = 4,288.08 : x
  2. Step 2: Convert to fraction form
    7,119.12/9,824.32 = 4,288.08/x
  3. Step 3: Cross multiply
    7,119.12x = 9,824.32 × 4,288.08
  4. Step 4: Simplify right side
    7,119.12x = 42,127,470.11
  5. Step 5: Solve for x
    x = 42,127,470.11/7,119.12
  6. Step 6: Final answer
    x = 5,917.51

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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.