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Finding the Fourth Proportional to 7,475.36, 10,306.86 and 4,676

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Solution

The fourth proportional to 7,475.36, 10,306.86 and 4,676 is: 6,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.36 : 10,306.86 = 4,676 : x
  2. Step 2: Convert to fraction form
    7,475.36/10,306.86 = 4,676/x
  3. Step 3: Cross multiply
    7,475.36x = 10,306.86 × 4,676
  4. Step 4: Simplify right side
    7,475.36x = 48,194,877.36
  5. Step 5: Solve for x
    x = 48,194,877.36/7,475.36
  6. Step 6: Final answer
    x = 6,447.16

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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.