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Finding the Fourth Proportional to 10,842.46, 16,271.07 and 4,999.12

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Solution

The fourth proportional to 10,842.46, 16,271.07 and 4,999.12 is: 7,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.46 : 16,271.07 = 4,999.12 : x
  2. Step 2: Convert to fraction form
    10,842.46/16,271.07 = 4,999.12/x
  3. Step 3: Cross multiply
    10,842.46x = 16,271.07 × 4,999.12
  4. Step 4: Simplify right side
    10,842.46x = 81,341,031.46
  5. Step 5: Solve for x
    x = 81,341,031.46/10,842.46
  6. Step 6: Final answer
    x = 7,502.08

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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.