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Finding the Fourth Proportional to 10,853.92, 14,973 and 7,310.98

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Solution

The fourth proportional to 10,853.92, 14,973 and 7,310.98 is: 10,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.92 : 14,973 = 7,310.98 : x
  2. Step 2: Convert to fraction form
    10,853.92/14,973 = 7,310.98/x
  3. Step 3: Cross multiply
    10,853.92x = 14,973 × 7,310.98
  4. Step 4: Simplify right side
    10,853.92x = 109,467,303.54
  5. Step 5: Solve for x
    x = 109,467,303.54/10,853.92
  6. Step 6: Final answer
    x = 10,085.51

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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.