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Finding the Fourth Proportional to 7,133.52, 10,678.16 and 4,662.96

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Solution

The fourth proportional to 7,133.52, 10,678.16 and 4,662.96 is: 6,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.52 : 10,678.16 = 4,662.96 : x
  2. Step 2: Convert to fraction form
    7,133.52/10,678.16 = 4,662.96/x
  3. Step 3: Cross multiply
    7,133.52x = 10,678.16 × 4,662.96
  4. Step 4: Simplify right side
    7,133.52x = 49,791,832.95
  5. Step 5: Solve for x
    x = 49,791,832.95/7,133.52
  6. Step 6: Final answer
    x = 6,979.98

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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.