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Finding the Fourth Proportional to 10,771.18, 14,859.66 and 6,577

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Solution

The fourth proportional to 10,771.18, 14,859.66 and 6,577 is: 9,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.18 : 14,859.66 = 6,577 : x
  2. Step 2: Convert to fraction form
    10,771.18/14,859.66 = 6,577/x
  3. Step 3: Cross multiply
    10,771.18x = 14,859.66 × 6,577
  4. Step 4: Simplify right side
    10,771.18x = 97,731,983.82
  5. Step 5: Solve for x
    x = 97,731,983.82/10,771.18
  6. Step 6: Final answer
    x = 9,073.47

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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.