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Finding the Fourth Proportional to 7,709.25, 10,638.77 and 4,397.25

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Solution

The fourth proportional to 7,709.25, 10,638.77 and 4,397.25 is: 6,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.25 : 10,638.77 = 4,397.25 : x
  2. Step 2: Convert to fraction form
    7,709.25/10,638.77 = 4,397.25/x
  3. Step 3: Cross multiply
    7,709.25x = 10,638.77 × 4,397.25
  4. Step 4: Simplify right side
    7,709.25x = 46,781,309.40
  5. Step 5: Solve for x
    x = 46,781,309.40/7,709.25
  6. Step 6: Final answer
    x = 6,068.21

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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.