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Finding the Fourth Proportional to 10,903.32, 16,357.08 and 3,509.64

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Solution

The fourth proportional to 10,903.32, 16,357.08 and 3,509.64 is: 5,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.32 : 16,357.08 = 3,509.64 : x
  2. Step 2: Convert to fraction form
    10,903.32/16,357.08 = 3,509.64/x
  3. Step 3: Cross multiply
    10,903.32x = 16,357.08 × 3,509.64
  4. Step 4: Simplify right side
    10,903.32x = 57,407,462.25
  5. Step 5: Solve for x
    x = 57,407,462.25/10,903.32
  6. Step 6: Final answer
    x = 5,265.14

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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.