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Finding the Fourth Proportional to 10,383.76, 15,580.72 and 4,539.52

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Solution

The fourth proportional to 10,383.76, 15,580.72 and 4,539.52 is: 6,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.76 : 15,580.72 = 4,539.52 : x
  2. Step 2: Convert to fraction form
    10,383.76/15,580.72 = 4,539.52/x
  3. Step 3: Cross multiply
    10,383.76x = 15,580.72 × 4,539.52
  4. Step 4: Simplify right side
    10,383.76x = 70,728,990.05
  5. Step 5: Solve for x
    x = 70,728,990.05/10,383.76
  6. Step 6: Final answer
    x = 6,811.50

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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.