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Finding the Fourth Proportional to 10,270.71, 15,393.69 and 4,716.39

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Solution

The fourth proportional to 10,270.71, 15,393.69 and 4,716.39 is: 7,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.71 : 15,393.69 = 4,716.39 : x
  2. Step 2: Convert to fraction form
    10,270.71/15,393.69 = 4,716.39/x
  3. Step 3: Cross multiply
    10,270.71x = 15,393.69 × 4,716.39
  4. Step 4: Simplify right side
    10,270.71x = 72,602,645.58
  5. Step 5: Solve for x
    x = 72,602,645.58/10,270.71
  6. Step 6: Final answer
    x = 7,068.90

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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.