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Finding the Fourth Proportional to 10,454.77, 14,436.93 and 7,797.57

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Solution

The fourth proportional to 10,454.77, 14,436.93 and 7,797.57 is: 10,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.77 : 14,436.93 = 7,797.57 : x
  2. Step 2: Convert to fraction form
    10,454.77/14,436.93 = 7,797.57/x
  3. Step 3: Cross multiply
    10,454.77x = 14,436.93 × 7,797.57
  4. Step 4: Simplify right side
    10,454.77x = 112,572,947.36
  5. Step 5: Solve for x
    x = 112,572,947.36/10,454.77
  6. Step 6: Final answer
    x = 10,767.61

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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.