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Finding the Fourth Proportional to 7,710.21, 11,568.15 and 4,010.13

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Solution

The fourth proportional to 7,710.21, 11,568.15 and 4,010.13 is: 6,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.21 : 11,568.15 = 4,010.13 : x
  2. Step 2: Convert to fraction form
    7,710.21/11,568.15 = 4,010.13/x
  3. Step 3: Cross multiply
    7,710.21x = 11,568.15 × 4,010.13
  4. Step 4: Simplify right side
    7,710.21x = 46,389,785.36
  5. Step 5: Solve for x
    x = 46,389,785.36/7,710.21
  6. Step 6: Final answer
    x = 6,016.67

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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.