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Finding the Fourth Proportional to 8,298.16, 12,445.06 and 5,665.18

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Solution

The fourth proportional to 8,298.16, 12,445.06 and 5,665.18 is: 8,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.16 : 12,445.06 = 5,665.18 : x
  2. Step 2: Convert to fraction form
    8,298.16/12,445.06 = 5,665.18/x
  3. Step 3: Cross multiply
    8,298.16x = 12,445.06 × 5,665.18
  4. Step 4: Simplify right side
    8,298.16x = 70,503,505.01
  5. Step 5: Solve for x
    x = 70,503,505.01/8,298.16
  6. Step 6: Final answer
    x = 8,496.28

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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.