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Finding the Fourth Proportional to 10,441.34, 14,392.67 and 7,913.33

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Solution

The fourth proportional to 10,441.34, 14,392.67 and 7,913.33 is: 10,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.34 : 14,392.67 = 7,913.33 : x
  2. Step 2: Convert to fraction form
    10,441.34/14,392.67 = 7,913.33/x
  3. Step 3: Cross multiply
    10,441.34x = 14,392.67 × 7,913.33
  4. Step 4: Simplify right side
    10,441.34x = 113,893,947.29
  5. Step 5: Solve for x
    x = 113,893,947.29/10,441.34
  6. Step 6: Final answer
    x = 10,907.98

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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.