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Finding the Fourth Proportional to 7,466.16, 10,306.32 and 4,634.16

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Solution

The fourth proportional to 7,466.16, 10,306.32 and 4,634.16 is: 6,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.16 : 10,306.32 = 4,634.16 : x
  2. Step 2: Convert to fraction form
    7,466.16/10,306.32 = 4,634.16/x
  3. Step 3: Cross multiply
    7,466.16x = 10,306.32 × 4,634.16
  4. Step 4: Simplify right side
    7,466.16x = 47,761,135.89
  5. Step 5: Solve for x
    x = 47,761,135.89/7,466.16
  6. Step 6: Final answer
    x = 6,397.01

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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.