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Finding the Fourth Proportional to 8,475.76, 11,697.32 and 5,120.24

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Solution

The fourth proportional to 8,475.76, 11,697.32 and 5,120.24 is: 7,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.76 : 11,697.32 = 5,120.24 : x
  2. Step 2: Convert to fraction form
    8,475.76/11,697.32 = 5,120.24/x
  3. Step 3: Cross multiply
    8,475.76x = 11,697.32 × 5,120.24
  4. Step 4: Simplify right side
    8,475.76x = 59,893,085.76
  5. Step 5: Solve for x
    x = 59,893,085.76/8,475.76
  6. Step 6: Final answer
    x = 7,066.40

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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.