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Finding the Fourth Proportional to 10,574.10, 15,859.95 and 2,783.52

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Solution

The fourth proportional to 10,574.10, 15,859.95 and 2,783.52 is: 4,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.10 : 15,859.95 = 2,783.52 : x
  2. Step 2: Convert to fraction form
    10,574.10/15,859.95 = 2,783.52/x
  3. Step 3: Cross multiply
    10,574.10x = 15,859.95 × 2,783.52
  4. Step 4: Simplify right side
    10,574.10x = 44,146,488.02
  5. Step 5: Solve for x
    x = 44,146,488.02/10,574.10
  6. Step 6: Final answer
    x = 4,174.96

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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.