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Finding the Fourth Proportional to 10,046.71, 15,024.79 and 7,675.51

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Solution

The fourth proportional to 10,046.71, 15,024.79 and 7,675.51 is: 11,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.71 : 15,024.79 = 7,675.51 : x
  2. Step 2: Convert to fraction form
    10,046.71/15,024.79 = 7,675.51/x
  3. Step 3: Cross multiply
    10,046.71x = 15,024.79 × 7,675.51
  4. Step 4: Simplify right side
    10,046.71x = 115,322,926.10
  5. Step 5: Solve for x
    x = 115,322,926.10/10,046.71
  6. Step 6: Final answer
    x = 11,478.68

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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.