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Finding the Fourth Proportional to 8,281.56, 11,425.64 and 4,695.98

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Solution

The fourth proportional to 8,281.56, 11,425.64 and 4,695.98 is: 6,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.56 : 11,425.64 = 4,695.98 : x
  2. Step 2: Convert to fraction form
    8,281.56/11,425.64 = 4,695.98/x
  3. Step 3: Cross multiply
    8,281.56x = 11,425.64 × 4,695.98
  4. Step 4: Simplify right side
    8,281.56x = 53,654,582.01
  5. Step 5: Solve for x
    x = 53,654,582.01/8,281.56
  6. Step 6: Final answer
    x = 6,478.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.