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Finding the Fourth Proportional to 10,561.50, 14,573.52 and 6,085.44

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Solution

The fourth proportional to 10,561.50, 14,573.52 and 6,085.44 is: 8,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.50 : 14,573.52 = 6,085.44 : x
  2. Step 2: Convert to fraction form
    10,561.50/14,573.52 = 6,085.44/x
  3. Step 3: Cross multiply
    10,561.50x = 14,573.52 × 6,085.44
  4. Step 4: Simplify right side
    10,561.50x = 88,686,281.55
  5. Step 5: Solve for x
    x = 88,686,281.55/10,561.50
  6. Step 6: Final answer
    x = 8,397.13

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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.