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Finding the Fourth Proportional to 7,734.72, 10,674 and 4,548.72

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Solution

The fourth proportional to 7,734.72, 10,674 and 4,548.72 is: 6,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.72 : 10,674 = 4,548.72 : x
  2. Step 2: Convert to fraction form
    7,734.72/10,674 = 4,548.72/x
  3. Step 3: Cross multiply
    7,734.72x = 10,674 × 4,548.72
  4. Step 4: Simplify right side
    7,734.72x = 48,553,037.28
  5. Step 5: Solve for x
    x = 48,553,037.28/7,734.72
  6. Step 6: Final answer
    x = 6,277.28

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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.