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Finding the Fourth Proportional to 6,189.12, 8,538.06 and 4,068.16

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Solution

The fourth proportional to 6,189.12, 8,538.06 and 4,068.16 is: 5,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.12 : 8,538.06 = 4,068.16 : x
  2. Step 2: Convert to fraction form
    6,189.12/8,538.06 = 4,068.16/x
  3. Step 3: Cross multiply
    6,189.12x = 8,538.06 × 4,068.16
  4. Step 4: Simplify right side
    6,189.12x = 34,734,194.17
  5. Step 5: Solve for x
    x = 34,734,194.17/6,189.12
  6. Step 6: Final answer
    x = 5,612.14

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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.