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Finding the Fourth Proportional to 6,608.16, 9,914.40 and 5,152.32

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Solution

The fourth proportional to 6,608.16, 9,914.40 and 5,152.32 is: 7,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.16 : 9,914.40 = 5,152.32 : x
  2. Step 2: Convert to fraction form
    6,608.16/9,914.40 = 5,152.32/x
  3. Step 3: Cross multiply
    6,608.16x = 9,914.40 × 5,152.32
  4. Step 4: Simplify right side
    6,608.16x = 51,082,161.41
  5. Step 5: Solve for x
    x = 51,082,161.41/6,608.16
  6. Step 6: Final answer
    x = 7,730.16

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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.