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Finding the Fourth Proportional to 10,554.93, 14,566.80 and 6,306

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Solution

The fourth proportional to 10,554.93, 14,566.80 and 6,306 is: 8,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.93 : 14,566.80 = 6,306 : x
  2. Step 2: Convert to fraction form
    10,554.93/14,566.80 = 6,306/x
  3. Step 3: Cross multiply
    10,554.93x = 14,566.80 × 6,306
  4. Step 4: Simplify right side
    10,554.93x = 91,858,240.80
  5. Step 5: Solve for x
    x = 91,858,240.80/10,554.93
  6. Step 6: Final answer
    x = 8,702.88

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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.