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Finding the Fourth Proportional to 10,574.76, 15,863.04 and 2,783.52

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Solution

The fourth proportional to 10,574.76, 15,863.04 and 2,783.52 is: 4,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.76 : 15,863.04 = 2,783.52 : x
  2. Step 2: Convert to fraction form
    10,574.76/15,863.04 = 2,783.52/x
  3. Step 3: Cross multiply
    10,574.76x = 15,863.04 × 2,783.52
  4. Step 4: Simplify right side
    10,574.76x = 44,155,089.10
  5. Step 5: Solve for x
    x = 44,155,089.10/10,574.76
  6. Step 6: Final answer
    x = 4,175.52

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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.