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Finding the Fourth Proportional to 10,551.91, 14,563.02 and 6,075.85

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Solution

The fourth proportional to 10,551.91, 14,563.02 and 6,075.85 is: 8,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.91 : 14,563.02 = 6,075.85 : x
  2. Step 2: Convert to fraction form
    10,551.91/14,563.02 = 6,075.85/x
  3. Step 3: Cross multiply
    10,551.91x = 14,563.02 × 6,075.85
  4. Step 4: Simplify right side
    10,551.91x = 88,482,725.07
  5. Step 5: Solve for x
    x = 88,482,725.07/10,551.91
  6. Step 6: Final answer
    x = 8,385.47

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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.