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Finding the Fourth Proportional to 10,070.19, 15,114.69 and 5,143.37

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Solution

The fourth proportional to 10,070.19, 15,114.69 and 5,143.37 is: 7,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.19 : 15,114.69 = 5,143.37 : x
  2. Step 2: Convert to fraction form
    10,070.19/15,114.69 = 5,143.37/x
  3. Step 3: Cross multiply
    10,070.19x = 15,114.69 × 5,143.37
  4. Step 4: Simplify right side
    10,070.19x = 77,740,367.53
  5. Step 5: Solve for x
    x = 77,740,367.53/10,070.19
  6. Step 6: Final answer
    x = 7,719.85

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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.