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Finding the Fourth Proportional to 10,298.85, 15,447.93 and 4,054.37

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Solution

The fourth proportional to 10,298.85, 15,447.93 and 4,054.37 is: 6,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.85 : 15,447.93 = 4,054.37 : x
  2. Step 2: Convert to fraction form
    10,298.85/15,447.93 = 4,054.37/x
  3. Step 3: Cross multiply
    10,298.85x = 15,447.93 × 4,054.37
  4. Step 4: Simplify right side
    10,298.85x = 62,631,546.71
  5. Step 5: Solve for x
    x = 62,631,546.71/10,298.85
  6. Step 6: Final answer
    x = 6,081.41

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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.