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Finding the Fourth Proportional to 11,202.71, 16,785.58 and 6,509.55

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Solution

The fourth proportional to 11,202.71, 16,785.58 and 6,509.55 is: 9,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.71 : 16,785.58 = 6,509.55 : x
  2. Step 2: Convert to fraction form
    11,202.71/16,785.58 = 6,509.55/x
  3. Step 3: Cross multiply
    11,202.71x = 16,785.58 × 6,509.55
  4. Step 4: Simplify right side
    11,202.71x = 109,266,455.81
  5. Step 5: Solve for x
    x = 109,266,455.81/11,202.71
  6. Step 6: Final answer
    x = 9,753.57

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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.