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Finding the Fourth Proportional to 10,524.72, 15,774.51 and 4,894.78

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Solution

The fourth proportional to 10,524.72, 15,774.51 and 4,894.78 is: 7,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.72 : 15,774.51 = 4,894.78 : x
  2. Step 2: Convert to fraction form
    10,524.72/15,774.51 = 4,894.78/x
  3. Step 3: Cross multiply
    10,524.72x = 15,774.51 × 4,894.78
  4. Step 4: Simplify right side
    10,524.72x = 77,212,756.06
  5. Step 5: Solve for x
    x = 77,212,756.06/10,524.72
  6. Step 6: Final answer
    x = 7,336.32

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