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Finding the Fourth Proportional to 10,770.57, 14,855.99 and 6,580.89

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Solution

The fourth proportional to 10,770.57, 14,855.99 and 6,580.89 is: 9,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.57 : 14,855.99 = 6,580.89 : x
  2. Step 2: Convert to fraction form
    10,770.57/14,855.99 = 6,580.89/x
  3. Step 3: Cross multiply
    10,770.57x = 14,855.99 × 6,580.89
  4. Step 4: Simplify right side
    10,770.57x = 97,765,603.13
  5. Step 5: Solve for x
    x = 97,765,603.13/10,770.57
  6. Step 6: Final answer
    x = 9,077.11

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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.