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Finding the Fourth Proportional to 25,252.51, 37,875.13 and 7,717.63

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Solution

The fourth proportional to 25,252.51, 37,875.13 and 7,717.63 is: 11,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,252.51 : 37,875.13 = 7,717.63 : x
  2. Step 2: Convert to fraction form
    25,252.51/37,875.13 = 7,717.63/x
  3. Step 3: Cross multiply
    25,252.51x = 37,875.13 × 7,717.63
  4. Step 4: Simplify right side
    25,252.51x = 292,306,239.54
  5. Step 5: Solve for x
    x = 292,306,239.54/25,252.51
  6. Step 6: Final answer
    x = 11,575.33

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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.