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Finding the Fourth Proportional to 6,199.32, 8,536.34 and 5,358.52

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Solution

The fourth proportional to 6,199.32, 8,536.34 and 5,358.52 is: 7,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.32 : 8,536.34 = 5,358.52 : x
  2. Step 2: Convert to fraction form
    6,199.32/8,536.34 = 5,358.52/x
  3. Step 3: Cross multiply
    6,199.32x = 8,536.34 × 5,358.52
  4. Step 4: Simplify right side
    6,199.32x = 45,742,148.62
  5. Step 5: Solve for x
    x = 45,742,148.62/6,199.32
  6. Step 6: Final answer
    x = 7,378.58

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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.