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Finding the Fourth Proportional to 10,295.40, 14,206.39 and 7,310.15

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Solution

The fourth proportional to 10,295.40, 14,206.39 and 7,310.15 is: 10,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.40 : 14,206.39 = 7,310.15 : x
  2. Step 2: Convert to fraction form
    10,295.40/14,206.39 = 7,310.15/x
  3. Step 3: Cross multiply
    10,295.40x = 14,206.39 × 7,310.15
  4. Step 4: Simplify right side
    10,295.40x = 103,850,805.83
  5. Step 5: Solve for x
    x = 103,850,805.83/10,295.40
  6. Step 6: Final answer
    x = 10,087.10

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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.