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Finding the Fourth Proportional to 7,477.74, 10,319.09 and 4,120.49

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Solution

The fourth proportional to 7,477.74, 10,319.09 and 4,120.49 is: 5,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.74 : 10,319.09 = 4,120.49 : x
  2. Step 2: Convert to fraction form
    7,477.74/10,319.09 = 4,120.49/x
  3. Step 3: Cross multiply
    7,477.74x = 10,319.09 × 4,120.49
  4. Step 4: Simplify right side
    7,477.74x = 42,519,707.15
  5. Step 5: Solve for x
    x = 42,519,707.15/7,477.74
  6. Step 6: Final answer
    x = 5,686.17

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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.