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Finding the Fourth Proportional to 10,378.82, 14,326.89 and 7,020.02

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Solution

The fourth proportional to 10,378.82, 14,326.89 and 7,020.02 is: 9,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.82 : 14,326.89 = 7,020.02 : x
  2. Step 2: Convert to fraction form
    10,378.82/14,326.89 = 7,020.02/x
  3. Step 3: Cross multiply
    10,378.82x = 14,326.89 × 7,020.02
  4. Step 4: Simplify right side
    10,378.82x = 100,575,054.34
  5. Step 5: Solve for x
    x = 100,575,054.34/10,378.82
  6. Step 6: Final answer
    x = 9,690.41

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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.