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Finding the Fourth Proportional to 8,406.36, 11,597.28 and 5,421.84

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Solution

The fourth proportional to 8,406.36, 11,597.28 and 5,421.84 is: 7,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.36 : 11,597.28 = 5,421.84 : x
  2. Step 2: Convert to fraction form
    8,406.36/11,597.28 = 5,421.84/x
  3. Step 3: Cross multiply
    8,406.36x = 11,597.28 × 5,421.84
  4. Step 4: Simplify right side
    8,406.36x = 62,878,596.60
  5. Step 5: Solve for x
    x = 62,878,596.60/8,406.36
  6. Step 6: Final answer
    x = 7,479.88

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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.