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Finding the Fourth Proportional to 7,666.40, 10,576.86 and 5,015.32

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Solution

The fourth proportional to 7,666.40, 10,576.86 and 5,015.32 is: 6,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.40 : 10,576.86 = 5,015.32 : x
  2. Step 2: Convert to fraction form
    7,666.40/10,576.86 = 5,015.32/x
  3. Step 3: Cross multiply
    7,666.40x = 10,576.86 × 5,015.32
  4. Step 4: Simplify right side
    7,666.40x = 53,046,337.50
  5. Step 5: Solve for x
    x = 53,046,337.50/7,666.40
  6. Step 6: Final answer
    x = 6,919.33

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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.