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Finding the Fourth Proportional to 10,544.39, 15,841.10 and 9,977.51

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Solution

The fourth proportional to 10,544.39, 15,841.10 and 9,977.51 is: 14,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.39 : 15,841.10 = 9,977.51 : x
  2. Step 2: Convert to fraction form
    10,544.39/15,841.10 = 9,977.51/x
  3. Step 3: Cross multiply
    10,544.39x = 15,841.10 × 9,977.51
  4. Step 4: Simplify right side
    10,544.39x = 158,054,604.57
  5. Step 5: Solve for x
    x = 158,054,604.57/10,544.39
  6. Step 6: Final answer
    x = 14,989.46

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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.