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Finding the Fourth Proportional to 7,464.71, 10,300.77 and 4,107.66

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Solution

The fourth proportional to 7,464.71, 10,300.77 and 4,107.66 is: 5,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.71 : 10,300.77 = 4,107.66 : x
  2. Step 2: Convert to fraction form
    7,464.71/10,300.77 = 4,107.66/x
  3. Step 3: Cross multiply
    7,464.71x = 10,300.77 × 4,107.66
  4. Step 4: Simplify right side
    7,464.71x = 42,312,060.90
  5. Step 5: Solve for x
    x = 42,312,060.90/7,464.71
  6. Step 6: Final answer
    x = 5,668.28

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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.