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Finding the Fourth Proportional to 10,498.25, 15,749 and 3,925.37

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Solution

The fourth proportional to 10,498.25, 15,749 and 3,925.37 is: 5,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.25 : 15,749 = 3,925.37 : x
  2. Step 2: Convert to fraction form
    10,498.25/15,749 = 3,925.37/x
  3. Step 3: Cross multiply
    10,498.25x = 15,749 × 3,925.37
  4. Step 4: Simplify right side
    10,498.25x = 61,820,652.13
  5. Step 5: Solve for x
    x = 61,820,652.13/10,498.25
  6. Step 6: Final answer
    x = 5,888.66

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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.