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Finding the Fourth Proportional to 7,406.16, 10,219.52 and 4,757.16

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Solution

The fourth proportional to 7,406.16, 10,219.52 and 4,757.16 is: 6,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.16 : 10,219.52 = 4,757.16 : x
  2. Step 2: Convert to fraction form
    7,406.16/10,219.52 = 4,757.16/x
  3. Step 3: Cross multiply
    7,406.16x = 10,219.52 × 4,757.16
  4. Step 4: Simplify right side
    7,406.16x = 48,615,891.76
  5. Step 5: Solve for x
    x = 48,615,891.76/7,406.16
  6. Step 6: Final answer
    x = 6,564.25

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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.