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Finding the Fourth Proportional to 10,283.95, 14,190.76 and 7,596.57

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Solution

The fourth proportional to 10,283.95, 14,190.76 and 7,596.57 is: 10,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.95 : 14,190.76 = 7,596.57 : x
  2. Step 2: Convert to fraction form
    10,283.95/14,190.76 = 7,596.57/x
  3. Step 3: Cross multiply
    10,283.95x = 14,190.76 × 7,596.57
  4. Step 4: Simplify right side
    10,283.95x = 107,801,101.69
  5. Step 5: Solve for x
    x = 107,801,101.69/10,283.95
  6. Step 6: Final answer
    x = 10,482.46

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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.