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Finding the Fourth Proportional to 8,574.47, 12,852.88 and 3,897.73

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Solution

The fourth proportional to 8,574.47, 12,852.88 and 3,897.73 is: 5,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.47 : 12,852.88 = 3,897.73 : x
  2. Step 2: Convert to fraction form
    8,574.47/12,852.88 = 3,897.73/x
  3. Step 3: Cross multiply
    8,574.47x = 12,852.88 × 3,897.73
  4. Step 4: Simplify right side
    8,574.47x = 50,097,055.96
  5. Step 5: Solve for x
    x = 50,097,055.96/8,574.47
  6. Step 6: Final answer
    x = 5,842.58

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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.