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Finding the Fourth Proportional to 10,205.11, 15,297 and 6,918.40

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Solution

The fourth proportional to 10,205.11, 15,297 and 6,918.40 is: 10,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.11 : 15,297 = 6,918.40 : x
  2. Step 2: Convert to fraction form
    10,205.11/15,297 = 6,918.40/x
  3. Step 3: Cross multiply
    10,205.11x = 15,297 × 6,918.40
  4. Step 4: Simplify right side
    10,205.11x = 105,830,764.80
  5. Step 5: Solve for x
    x = 105,830,764.80/10,205.11
  6. Step 6: Final answer
    x = 10,370.37

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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.