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Finding the Fourth Proportional to 10,503.46, 14,495.14 and 5,723.80

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Solution

The fourth proportional to 10,503.46, 14,495.14 and 5,723.80 is: 7,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.46 : 14,495.14 = 5,723.80 : x
  2. Step 2: Convert to fraction form
    10,503.46/14,495.14 = 5,723.80/x
  3. Step 3: Cross multiply
    10,503.46x = 14,495.14 × 5,723.80
  4. Step 4: Simplify right side
    10,503.46x = 82,967,224.82
  5. Step 5: Solve for x
    x = 82,967,224.82/10,503.46
  6. Step 6: Final answer
    x = 7,899.04

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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.