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Finding the Fourth Proportional to 8,203.24, 11,319.76 and 4,569.01

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Solution

The fourth proportional to 8,203.24, 11,319.76 and 4,569.01 is: 6,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.24 : 11,319.76 = 4,569.01 : x
  2. Step 2: Convert to fraction form
    8,203.24/11,319.76 = 4,569.01/x
  3. Step 3: Cross multiply
    8,203.24x = 11,319.76 × 4,569.01
  4. Step 4: Simplify right side
    8,203.24x = 51,720,123.19
  5. Step 5: Solve for x
    x = 51,720,123.19/8,203.24
  6. Step 6: Final answer
    x = 6,304.84

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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.