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Finding the Fourth Proportional to 10,346.66, 14,285.13 and 6,815.87

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Solution

The fourth proportional to 10,346.66, 14,285.13 and 6,815.87 is: 9,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.66 : 14,285.13 = 6,815.87 : x
  2. Step 2: Convert to fraction form
    10,346.66/14,285.13 = 6,815.87/x
  3. Step 3: Cross multiply
    10,346.66x = 14,285.13 × 6,815.87
  4. Step 4: Simplify right side
    10,346.66x = 97,365,589.01
  5. Step 5: Solve for x
    x = 97,365,589.01/10,346.66
  6. Step 6: Final answer
    x = 9,410.34

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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.