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Finding the Fourth Proportional to 7,433.16, 10,259.07 and 5,646.56

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Solution

The fourth proportional to 7,433.16, 10,259.07 and 5,646.56 is: 7,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.16 : 10,259.07 = 5,646.56 : x
  2. Step 2: Convert to fraction form
    7,433.16/10,259.07 = 5,646.56/x
  3. Step 3: Cross multiply
    7,433.16x = 10,259.07 × 5,646.56
  4. Step 4: Simplify right side
    7,433.16x = 57,928,403.00
  5. Step 5: Solve for x
    x = 57,928,403.00/7,433.16
  6. Step 6: Final answer
    x = 7,793.24

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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.