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Finding the Fourth Proportional to 7,210.32, 9,950.40 and 4,023.84

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Solution

The fourth proportional to 7,210.32, 9,950.40 and 4,023.84 is: 5,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.32 : 9,950.40 = 4,023.84 : x
  2. Step 2: Convert to fraction form
    7,210.32/9,950.40 = 4,023.84/x
  3. Step 3: Cross multiply
    7,210.32x = 9,950.40 × 4,023.84
  4. Step 4: Simplify right side
    7,210.32x = 40,038,817.54
  5. Step 5: Solve for x
    x = 40,038,817.54/7,210.32
  6. Step 6: Final answer
    x = 5,552.99

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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.