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Finding the Fourth Proportional to 7,016.40, 10,527.84 and 3,120.30

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Solution

The fourth proportional to 7,016.40, 10,527.84 and 3,120.30 is: 4,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.40 : 10,527.84 = 3,120.30 : x
  2. Step 2: Convert to fraction form
    7,016.40/10,527.84 = 3,120.30/x
  3. Step 3: Cross multiply
    7,016.40x = 10,527.84 × 3,120.30
  4. Step 4: Simplify right side
    7,016.40x = 32,850,019.15
  5. Step 5: Solve for x
    x = 32,850,019.15/7,016.40
  6. Step 6: Final answer
    x = 4,681.89

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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.