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Finding the Fourth Proportional to 10,653.76, 15,984.24 and 4,416.76

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Solution

The fourth proportional to 10,653.76, 15,984.24 and 4,416.76 is: 6,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.76 : 15,984.24 = 4,416.76 : x
  2. Step 2: Convert to fraction form
    10,653.76/15,984.24 = 4,416.76/x
  3. Step 3: Cross multiply
    10,653.76x = 15,984.24 × 4,416.76
  4. Step 4: Simplify right side
    10,653.76x = 70,598,551.86
  5. Step 5: Solve for x
    x = 70,598,551.86/10,653.76
  6. Step 6: Final answer
    x = 6,626.63

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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.