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Finding the Fourth Proportional to 10,842.47, 16,263.44 and 4,999.08

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Solution

The fourth proportional to 10,842.47, 16,263.44 and 4,999.08 is: 7,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.47 : 16,263.44 = 4,999.08 : x
  2. Step 2: Convert to fraction form
    10,842.47/16,263.44 = 4,999.08/x
  3. Step 3: Cross multiply
    10,842.47x = 16,263.44 × 4,999.08
  4. Step 4: Simplify right side
    10,842.47x = 81,302,212.64
  5. Step 5: Solve for x
    x = 81,302,212.64/10,842.47
  6. Step 6: Final answer
    x = 7,498.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.