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Finding the Fourth Proportional to 10,738.58, 14,804.61 and 6,954.98

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Solution

The fourth proportional to 10,738.58, 14,804.61 and 6,954.98 is: 9,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.58 : 14,804.61 = 6,954.98 : x
  2. Step 2: Convert to fraction form
    10,738.58/14,804.61 = 6,954.98/x
  3. Step 3: Cross multiply
    10,738.58x = 14,804.61 × 6,954.98
  4. Step 4: Simplify right side
    10,738.58x = 102,965,766.46
  5. Step 5: Solve for x
    x = 102,965,766.46/10,738.58
  6. Step 6: Final answer
    x = 9,588.40

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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.