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Finding the Fourth Proportional to 7,848.03, 10,832.15 and 4,492.78

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Solution

The fourth proportional to 7,848.03, 10,832.15 and 4,492.78 is: 6,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.03 : 10,832.15 = 4,492.78 : x
  2. Step 2: Convert to fraction form
    7,848.03/10,832.15 = 4,492.78/x
  3. Step 3: Cross multiply
    7,848.03x = 10,832.15 × 4,492.78
  4. Step 4: Simplify right side
    7,848.03x = 48,666,474.80
  5. Step 5: Solve for x
    x = 48,666,474.80/7,848.03
  6. Step 6: Final answer
    x = 6,201.11

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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.