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Finding the Fourth Proportional to 8,315.82, 11,458.40 and 5,658.60

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Solution

The fourth proportional to 8,315.82, 11,458.40 and 5,658.60 is: 7,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.82 : 11,458.40 = 5,658.60 : x
  2. Step 2: Convert to fraction form
    8,315.82/11,458.40 = 5,658.60/x
  3. Step 3: Cross multiply
    8,315.82x = 11,458.40 × 5,658.60
  4. Step 4: Simplify right side
    8,315.82x = 64,838,502.24
  5. Step 5: Solve for x
    x = 64,838,502.24/8,315.82
  6. Step 6: Final answer
    x = 7,797.01

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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.