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Finding the Fourth Proportional to 10,485.36, 15,711.72 and 3,909.78

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Solution

The fourth proportional to 10,485.36, 15,711.72 and 3,909.78 is: 5,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.36 : 15,711.72 = 3,909.78 : x
  2. Step 2: Convert to fraction form
    10,485.36/15,711.72 = 3,909.78/x
  3. Step 3: Cross multiply
    10,485.36x = 15,711.72 × 3,909.78
  4. Step 4: Simplify right side
    10,485.36x = 61,429,368.62
  5. Step 5: Solve for x
    x = 61,429,368.62/10,485.36
  6. Step 6: Final answer
    x = 5,858.58

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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.