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Finding the Fourth Proportional to 10,654.87, 14,697.69 and 6,669.06

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Solution

The fourth proportional to 10,654.87, 14,697.69 and 6,669.06 is: 9,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.87 : 14,697.69 = 6,669.06 : x
  2. Step 2: Convert to fraction form
    10,654.87/14,697.69 = 6,669.06/x
  3. Step 3: Cross multiply
    10,654.87x = 14,697.69 × 6,669.06
  4. Step 4: Simplify right side
    10,654.87x = 98,019,756.40
  5. Step 5: Solve for x
    x = 98,019,756.40/10,654.87
  6. Step 6: Final answer
    x = 9,199.53

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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.