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Finding the Fourth Proportional to 8,509.23, 11,743.47 and 4,973.58

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Solution

The fourth proportional to 8,509.23, 11,743.47 and 4,973.58 is: 6,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.23 : 11,743.47 = 4,973.58 : x
  2. Step 2: Convert to fraction form
    8,509.23/11,743.47 = 4,973.58/x
  3. Step 3: Cross multiply
    8,509.23x = 11,743.47 × 4,973.58
  4. Step 4: Simplify right side
    8,509.23x = 58,407,087.52
  5. Step 5: Solve for x
    x = 58,407,087.52/8,509.23
  6. Step 6: Final answer
    x = 6,863.97

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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.