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Finding the Fourth Proportional to 10,790.34, 14,892.09 and 6,075.54

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Solution

The fourth proportional to 10,790.34, 14,892.09 and 6,075.54 is: 8,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.34 : 14,892.09 = 6,075.54 : x
  2. Step 2: Convert to fraction form
    10,790.34/14,892.09 = 6,075.54/x
  3. Step 3: Cross multiply
    10,790.34x = 14,892.09 × 6,075.54
  4. Step 4: Simplify right side
    10,790.34x = 90,477,488.48
  5. Step 5: Solve for x
    x = 90,477,488.48/10,790.34
  6. Step 6: Final answer
    x = 8,385.05

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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.