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Finding the Fourth Proportional to 6,999.30, 10,492.74 and 2,842.38

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Solution

The fourth proportional to 6,999.30, 10,492.74 and 2,842.38 is: 4,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.30 : 10,492.74 = 2,842.38 : x
  2. Step 2: Convert to fraction form
    6,999.30/10,492.74 = 2,842.38/x
  3. Step 3: Cross multiply
    6,999.30x = 10,492.74 × 2,842.38
  4. Step 4: Simplify right side
    6,999.30x = 29,824,354.32
  5. Step 5: Solve for x
    x = 29,824,354.32/6,999.30
  6. Step 6: Final answer
    x = 4,261.05

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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.