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Finding the Fourth Proportional to 10,499.47, 14,503.08 and 7,842.27

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Solution

The fourth proportional to 10,499.47, 14,503.08 and 7,842.27 is: 10,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.47 : 14,503.08 = 7,842.27 : x
  2. Step 2: Convert to fraction form
    10,499.47/14,503.08 = 7,842.27/x
  3. Step 3: Cross multiply
    10,499.47x = 14,503.08 × 7,842.27
  4. Step 4: Simplify right side
    10,499.47x = 113,737,005.24
  5. Step 5: Solve for x
    x = 113,737,005.24/10,499.47
  6. Step 6: Final answer
    x = 10,832.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.