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Finding the Fourth Proportional to 7,559.71, 10,433 and 4,203.61

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Solution

The fourth proportional to 7,559.71, 10,433 and 4,203.61 is: 5,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.71 : 10,433 = 4,203.61 : x
  2. Step 2: Convert to fraction form
    7,559.71/10,433 = 4,203.61/x
  3. Step 3: Cross multiply
    7,559.71x = 10,433 × 4,203.61
  4. Step 4: Simplify right side
    7,559.71x = 43,856,263.13
  5. Step 5: Solve for x
    x = 43,856,263.13/7,559.71
  6. Step 6: Final answer
    x = 5,801.32

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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.