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Finding the Fourth Proportional to 10,790.88, 14,893.20 and 6,075.60

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Solution

The fourth proportional to 10,790.88, 14,893.20 and 6,075.60 is: 8,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.88 : 14,893.20 = 6,075.60 : x
  2. Step 2: Convert to fraction form
    10,790.88/14,893.20 = 6,075.60/x
  3. Step 3: Cross multiply
    10,790.88x = 14,893.20 × 6,075.60
  4. Step 4: Simplify right side
    10,790.88x = 90,485,125.92
  5. Step 5: Solve for x
    x = 90,485,125.92/10,790.88
  6. Step 6: Final answer
    x = 8,385.33

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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.