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Finding the Fourth Proportional to 10,593.42, 14,619.63 and 6,117.36

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Solution

The fourth proportional to 10,593.42, 14,619.63 and 6,117.36 is: 8,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.42 : 14,619.63 = 6,117.36 : x
  2. Step 2: Convert to fraction form
    10,593.42/14,619.63 = 6,117.36/x
  3. Step 3: Cross multiply
    10,593.42x = 14,619.63 × 6,117.36
  4. Step 4: Simplify right side
    10,593.42x = 89,433,539.78
  5. Step 5: Solve for x
    x = 89,433,539.78/10,593.42
  6. Step 6: Final answer
    x = 8,442.37

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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.