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Finding the Fourth Proportional to 10,097.26, 15,113.40 and 5,405.50

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Solution

The fourth proportional to 10,097.26, 15,113.40 and 5,405.50 is: 8,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.26 : 15,113.40 = 5,405.50 : x
  2. Step 2: Convert to fraction form
    10,097.26/15,113.40 = 5,405.50/x
  3. Step 3: Cross multiply
    10,097.26x = 15,113.40 × 5,405.50
  4. Step 4: Simplify right side
    10,097.26x = 81,695,483.70
  5. Step 5: Solve for x
    x = 81,695,483.70/10,097.26
  6. Step 6: Final answer
    x = 8,090.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.