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Finding the Fourth Proportional to 10,644.69, 14,680.08 and 6,666.15

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Solution

The fourth proportional to 10,644.69, 14,680.08 and 6,666.15 is: 9,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.69 : 14,680.08 = 6,666.15 : x
  2. Step 2: Convert to fraction form
    10,644.69/14,680.08 = 6,666.15/x
  3. Step 3: Cross multiply
    10,644.69x = 14,680.08 × 6,666.15
  4. Step 4: Simplify right side
    10,644.69x = 97,859,615.29
  5. Step 5: Solve for x
    x = 97,859,615.29/10,644.69
  6. Step 6: Final answer
    x = 9,193.28

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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.