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Finding the Fourth Proportional to 11,403.45, 15,724.38 and 7,417.17

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Solution

The fourth proportional to 11,403.45, 15,724.38 and 7,417.17 is: 10,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.45 : 15,724.38 = 7,417.17 : x
  2. Step 2: Convert to fraction form
    11,403.45/15,724.38 = 7,417.17/x
  3. Step 3: Cross multiply
    11,403.45x = 15,724.38 × 7,417.17
  4. Step 4: Simplify right side
    11,403.45x = 116,630,399.60
  5. Step 5: Solve for x
    x = 116,630,399.60/11,403.45
  6. Step 6: Final answer
    x = 10,227.64

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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.