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Finding the Fourth Proportional to 10,465.54, 15,698.45 and 2,674.35

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Solution

The fourth proportional to 10,465.54, 15,698.45 and 2,674.35 is: 4,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.54 : 15,698.45 = 2,674.35 : x
  2. Step 2: Convert to fraction form
    10,465.54/15,698.45 = 2,674.35/x
  3. Step 3: Cross multiply
    10,465.54x = 15,698.45 × 2,674.35
  4. Step 4: Simplify right side
    10,465.54x = 41,983,156.44
  5. Step 5: Solve for x
    x = 41,983,156.44/10,465.54
  6. Step 6: Final answer
    x = 4,011.56

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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.