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Finding the Fourth Proportional to 11,501.53, 15,872.03 and 6,533.53

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Solution

The fourth proportional to 11,501.53, 15,872.03 and 6,533.53 is: 9,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.53 : 15,872.03 = 6,533.53 : x
  2. Step 2: Convert to fraction form
    11,501.53/15,872.03 = 6,533.53/x
  3. Step 3: Cross multiply
    11,501.53x = 15,872.03 × 6,533.53
  4. Step 4: Simplify right side
    11,501.53x = 103,700,336.32
  5. Step 5: Solve for x
    x = 103,700,336.32/11,501.53
  6. Step 6: Final answer
    x = 9,016.22

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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.