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Finding the Fourth Proportional to 7,703.90, 11,557.48 and 2,509.38

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Solution

The fourth proportional to 7,703.90, 11,557.48 and 2,509.38 is: 3,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.90 : 11,557.48 = 2,509.38 : x
  2. Step 2: Convert to fraction form
    7,703.90/11,557.48 = 2,509.38/x
  3. Step 3: Cross multiply
    7,703.90x = 11,557.48 × 2,509.38
  4. Step 4: Simplify right side
    7,703.90x = 29,002,109.16
  5. Step 5: Solve for x
    x = 29,002,109.16/7,703.90
  6. Step 6: Final answer
    x = 3,764.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.