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Finding the Fourth Proportional to 10,492.74, 14,473.38 and 6,240.77

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Solution

The fourth proportional to 10,492.74, 14,473.38 and 6,240.77 is: 8,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.74 : 14,473.38 = 6,240.77 : x
  2. Step 2: Convert to fraction form
    10,492.74/14,473.38 = 6,240.77/x
  3. Step 3: Cross multiply
    10,492.74x = 14,473.38 × 6,240.77
  4. Step 4: Simplify right side
    10,492.74x = 90,325,081.72
  5. Step 5: Solve for x
    x = 90,325,081.72/10,492.74
  6. Step 6: Final answer
    x = 8,608.34

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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.