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Finding the Fourth Proportional to 10,382.76, 15,574.02 and 3,808.86

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Solution

The fourth proportional to 10,382.76, 15,574.02 and 3,808.86 is: 5,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.76 : 15,574.02 = 3,808.86 : x
  2. Step 2: Convert to fraction form
    10,382.76/15,574.02 = 3,808.86/x
  3. Step 3: Cross multiply
    10,382.76x = 15,574.02 × 3,808.86
  4. Step 4: Simplify right side
    10,382.76x = 59,319,261.82
  5. Step 5: Solve for x
    x = 59,319,261.82/10,382.76
  6. Step 6: Final answer
    x = 5,713.25

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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.