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Finding the Fourth Proportional to 10,543.83, 15,805.97 and 4,999.77

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Solution

The fourth proportional to 10,543.83, 15,805.97 and 4,999.77 is: 7,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.83 : 15,805.97 = 4,999.77 : x
  2. Step 2: Convert to fraction form
    10,543.83/15,805.97 = 4,999.77/x
  3. Step 3: Cross multiply
    10,543.83x = 15,805.97 × 4,999.77
  4. Step 4: Simplify right side
    10,543.83x = 79,026,189.63
  5. Step 5: Solve for x
    x = 79,026,189.63/10,543.83
  6. Step 6: Final answer
    x = 7,495.02

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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.