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Finding the Fourth Proportional to 10,355.36, 14,290.88 and 6,815.84

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Solution

The fourth proportional to 10,355.36, 14,290.88 and 6,815.84 is: 9,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.36 : 14,290.88 = 6,815.84 : x
  2. Step 2: Convert to fraction form
    10,355.36/14,290.88 = 6,815.84/x
  3. Step 3: Cross multiply
    10,355.36x = 14,290.88 × 6,815.84
  4. Step 4: Simplify right side
    10,355.36x = 97,404,351.54
  5. Step 5: Solve for x
    x = 97,404,351.54/10,355.36
  6. Step 6: Final answer
    x = 9,406.18

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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.