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Finding the Fourth Proportional to 8,214.48, 12,322.80 and 4,319.10

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Solution

The fourth proportional to 8,214.48, 12,322.80 and 4,319.10 is: 6,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.48 : 12,322.80 = 4,319.10 : x
  2. Step 2: Convert to fraction form
    8,214.48/12,322.80 = 4,319.10/x
  3. Step 3: Cross multiply
    8,214.48x = 12,322.80 × 4,319.10
  4. Step 4: Simplify right side
    8,214.48x = 53,223,405.48
  5. Step 5: Solve for x
    x = 53,223,405.48/8,214.48
  6. Step 6: Final answer
    x = 6,479.22

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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.