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Finding the Fourth Proportional to 10,669.81, 14,730.65 and 7,693.33

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Solution

The fourth proportional to 10,669.81, 14,730.65 and 7,693.33 is: 10,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.81 : 14,730.65 = 7,693.33 : x
  2. Step 2: Convert to fraction form
    10,669.81/14,730.65 = 7,693.33/x
  3. Step 3: Cross multiply
    10,669.81x = 14,730.65 × 7,693.33
  4. Step 4: Simplify right side
    10,669.81x = 113,327,713.10
  5. Step 5: Solve for x
    x = 113,327,713.10/10,669.81
  6. Step 6: Final answer
    x = 10,621.34

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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.