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Finding the Fourth Proportional to 7,588.47, 11,384.37 and 2,323.92

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Solution

The fourth proportional to 7,588.47, 11,384.37 and 2,323.92 is: 3,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.47 : 11,384.37 = 2,323.92 : x
  2. Step 2: Convert to fraction form
    7,588.47/11,384.37 = 2,323.92/x
  3. Step 3: Cross multiply
    7,588.47x = 11,384.37 × 2,323.92
  4. Step 4: Simplify right side
    7,588.47x = 26,456,365.13
  5. Step 5: Solve for x
    x = 26,456,365.13/7,588.47
  6. Step 6: Final answer
    x = 3,486.39

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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.