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Finding the Fourth Proportional to 7,477.76, 10,319.16 and 4,120.88

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Solution

The fourth proportional to 7,477.76, 10,319.16 and 4,120.88 is: 5,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.76 : 10,319.16 = 4,120.88 : x
  2. Step 2: Convert to fraction form
    7,477.76/10,319.16 = 4,120.88/x
  3. Step 3: Cross multiply
    7,477.76x = 10,319.16 × 4,120.88
  4. Step 4: Simplify right side
    7,477.76x = 42,524,020.06
  5. Step 5: Solve for x
    x = 42,524,020.06/7,477.76
  6. Step 6: Final answer
    x = 5,686.73

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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.