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Finding the Fourth Proportional to 10,578.23, 14,597.79 and 5,798.55

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Solution

The fourth proportional to 10,578.23, 14,597.79 and 5,798.55 is: 8,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.23 : 14,597.79 = 5,798.55 : x
  2. Step 2: Convert to fraction form
    10,578.23/14,597.79 = 5,798.55/x
  3. Step 3: Cross multiply
    10,578.23x = 14,597.79 × 5,798.55
  4. Step 4: Simplify right side
    10,578.23x = 84,646,015.20
  5. Step 5: Solve for x
    x = 84,646,015.20/10,578.23
  6. Step 6: Final answer
    x = 8,001.91

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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.