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Finding the Fourth Proportional to 10,674.39, 14,728.59 and 7,135.50

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Solution

The fourth proportional to 10,674.39, 14,728.59 and 7,135.50 is: 9,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.39 : 14,728.59 = 7,135.50 : x
  2. Step 2: Convert to fraction form
    10,674.39/14,728.59 = 7,135.50/x
  3. Step 3: Cross multiply
    10,674.39x = 14,728.59 × 7,135.50
  4. Step 4: Simplify right side
    10,674.39x = 105,095,853.95
  5. Step 5: Solve for x
    x = 105,095,853.95/10,674.39
  6. Step 6: Final answer
    x = 9,845.61

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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.