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Finding the Fourth Proportional to 7,407.28, 10,222.86 and 4,574.08

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Solution

The fourth proportional to 7,407.28, 10,222.86 and 4,574.08 is: 6,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.28 : 10,222.86 = 4,574.08 : x
  2. Step 2: Convert to fraction form
    7,407.28/10,222.86 = 4,574.08/x
  3. Step 3: Cross multiply
    7,407.28x = 10,222.86 × 4,574.08
  4. Step 4: Simplify right side
    7,407.28x = 46,760,179.47
  5. Step 5: Solve for x
    x = 46,760,179.47/7,407.28
  6. Step 6: Final answer
    x = 6,312.73

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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.