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Finding the Fourth Proportional to 7,684.12, 10,605.63 and 5,030.56

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Solution

The fourth proportional to 7,684.12, 10,605.63 and 5,030.56 is: 6,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.12 : 10,605.63 = 5,030.56 : x
  2. Step 2: Convert to fraction form
    7,684.12/10,605.63 = 5,030.56/x
  3. Step 3: Cross multiply
    7,684.12x = 10,605.63 × 5,030.56
  4. Step 4: Simplify right side
    7,684.12x = 53,352,258.05
  5. Step 5: Solve for x
    x = 53,352,258.05/7,684.12
  6. Step 6: Final answer
    x = 6,943.18

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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.