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Finding the Fourth Proportional to 7,666.85, 10,576.98 and 5,009.65

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Solution

The fourth proportional to 7,666.85, 10,576.98 and 5,009.65 is: 6,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.85 : 10,576.98 = 5,009.65 : x
  2. Step 2: Convert to fraction form
    7,666.85/10,576.98 = 5,009.65/x
  3. Step 3: Cross multiply
    7,666.85x = 10,576.98 × 5,009.65
  4. Step 4: Simplify right side
    7,666.85x = 52,986,941.41
  5. Step 5: Solve for x
    x = 52,986,941.41/7,666.85
  6. Step 6: Final answer
    x = 6,911.17

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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.