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Finding the Fourth Proportional to 10,580.99, 15,878.79 and 3,655.49

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Solution

The fourth proportional to 10,580.99, 15,878.79 and 3,655.49 is: 5,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.99 : 15,878.79 = 3,655.49 : x
  2. Step 2: Convert to fraction form
    10,580.99/15,878.79 = 3,655.49/x
  3. Step 3: Cross multiply
    10,580.99x = 15,878.79 × 3,655.49
  4. Step 4: Simplify right side
    10,580.99x = 58,044,758.06
  5. Step 5: Solve for x
    x = 58,044,758.06/10,580.99
  6. Step 6: Final answer
    x = 5,485.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.