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Finding the Fourth Proportional to 10,604.91, 15,892.32 and 7,809.66

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Solution

The fourth proportional to 10,604.91, 15,892.32 and 7,809.66 is: 11,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.91 : 15,892.32 = 7,809.66 : x
  2. Step 2: Convert to fraction form
    10,604.91/15,892.32 = 7,809.66/x
  3. Step 3: Cross multiply
    10,604.91x = 15,892.32 × 7,809.66
  4. Step 4: Simplify right side
    10,604.91x = 124,113,615.81
  5. Step 5: Solve for x
    x = 124,113,615.81/10,604.91
  6. Step 6: Final answer
    x = 11,703.41

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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.