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Finding the Fourth Proportional to 7,509.76, 11,266.24 and 2,894.08

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Solution

The fourth proportional to 7,509.76, 11,266.24 and 2,894.08 is: 4,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.76 : 11,266.24 = 2,894.08 : x
  2. Step 2: Convert to fraction form
    7,509.76/11,266.24 = 2,894.08/x
  3. Step 3: Cross multiply
    7,509.76x = 11,266.24 × 2,894.08
  4. Step 4: Simplify right side
    7,509.76x = 32,605,399.86
  5. Step 5: Solve for x
    x = 32,605,399.86/7,509.76
  6. Step 6: Final answer
    x = 4,341.74

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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.