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Finding the Fourth Proportional to 7,417.79, 11,117.26 and 7,224

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Solution

The fourth proportional to 7,417.79, 11,117.26 and 7,224 is: 10,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.79 : 11,117.26 = 7,224 : x
  2. Step 2: Convert to fraction form
    7,417.79/11,117.26 = 7,224/x
  3. Step 3: Cross multiply
    7,417.79x = 11,117.26 × 7,224
  4. Step 4: Simplify right side
    7,417.79x = 80,311,086.24
  5. Step 5: Solve for x
    x = 80,311,086.24/7,417.79
  6. Step 6: Final answer
    x = 10,826.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.