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Finding the Fourth Proportional to 5,663.56, 8,495.75 and 1,503.47

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Solution

The fourth proportional to 5,663.56, 8,495.75 and 1,503.47 is: 2,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.56 : 8,495.75 = 1,503.47 : x
  2. Step 2: Convert to fraction form
    5,663.56/8,495.75 = 1,503.47/x
  3. Step 3: Cross multiply
    5,663.56x = 8,495.75 × 1,503.47
  4. Step 4: Simplify right side
    5,663.56x = 12,773,118.97
  5. Step 5: Solve for x
    x = 12,773,118.97/5,663.56
  6. Step 6: Final answer
    x = 2,255.32

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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.