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Finding the Fourth Proportional to 7,011.46, 9,678.99 and 4,460.27

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Solution

The fourth proportional to 7,011.46, 9,678.99 and 4,460.27 is: 6,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.46 : 9,678.99 = 4,460.27 : x
  2. Step 2: Convert to fraction form
    7,011.46/9,678.99 = 4,460.27/x
  3. Step 3: Cross multiply
    7,011.46x = 9,678.99 × 4,460.27
  4. Step 4: Simplify right side
    7,011.46x = 43,170,877.06
  5. Step 5: Solve for x
    x = 43,170,877.06/7,011.46
  6. Step 6: Final answer
    x = 6,157.19

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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.