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Finding the Fourth Proportional to 10,604.79, 15,910.10 and 4,686.43

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Solution

The fourth proportional to 10,604.79, 15,910.10 and 4,686.43 is: 7,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.79 : 15,910.10 = 4,686.43 : x
  2. Step 2: Convert to fraction form
    10,604.79/15,910.10 = 4,686.43/x
  3. Step 3: Cross multiply
    10,604.79x = 15,910.10 × 4,686.43
  4. Step 4: Simplify right side
    10,604.79x = 74,561,569.94
  5. Step 5: Solve for x
    x = 74,561,569.94/10,604.79
  6. Step 6: Final answer
    x = 7,030.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.