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Finding the Fourth Proportional to 10,467.93, 15,701.95 and 5,201.70

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Solution

The fourth proportional to 10,467.93, 15,701.95 and 5,201.70 is: 7,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.93 : 15,701.95 = 5,201.70 : x
  2. Step 2: Convert to fraction form
    10,467.93/15,701.95 = 5,201.70/x
  3. Step 3: Cross multiply
    10,467.93x = 15,701.95 × 5,201.70
  4. Step 4: Simplify right side
    10,467.93x = 81,676,820.31
  5. Step 5: Solve for x
    x = 81,676,820.31/10,467.93
  6. Step 6: Final answer
    x = 7,802.58

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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.