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Finding the Fourth Proportional to 10,813.23, 14,913.62 and 7,455.27

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Solution

The fourth proportional to 10,813.23, 14,913.62 and 7,455.27 is: 10,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.23 : 14,913.62 = 7,455.27 : x
  2. Step 2: Convert to fraction form
    10,813.23/14,913.62 = 7,455.27/x
  3. Step 3: Cross multiply
    10,813.23x = 14,913.62 × 7,455.27
  4. Step 4: Simplify right side
    10,813.23x = 111,185,110.38
  5. Step 5: Solve for x
    x = 111,185,110.38/10,813.23
  6. Step 6: Final answer
    x = 10,282.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.