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Finding the Fourth Proportional to 10,019.07, 13,838.13 and 7,512.12

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Solution

The fourth proportional to 10,019.07, 13,838.13 and 7,512.12 is: 10,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.07 : 13,838.13 = 7,512.12 : x
  2. Step 2: Convert to fraction form
    10,019.07/13,838.13 = 7,512.12/x
  3. Step 3: Cross multiply
    10,019.07x = 13,838.13 × 7,512.12
  4. Step 4: Simplify right side
    10,019.07x = 103,953,693.14
  5. Step 5: Solve for x
    x = 103,953,693.14/10,019.07
  6. Step 6: Final answer
    x = 10,375.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.