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Finding the Fourth Proportional to 7,403.66, 10,210.44 and 6,142.72

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Solution

The fourth proportional to 7,403.66, 10,210.44 and 6,142.72 is: 8,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.66 : 10,210.44 = 6,142.72 : x
  2. Step 2: Convert to fraction form
    7,403.66/10,210.44 = 6,142.72/x
  3. Step 3: Cross multiply
    7,403.66x = 10,210.44 × 6,142.72
  4. Step 4: Simplify right side
    7,403.66x = 62,719,825.44
  5. Step 5: Solve for x
    x = 62,719,825.44/7,403.66
  6. Step 6: Final answer
    x = 8,471.46

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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.