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Finding the Fourth Proportional to 10,561.70, 14,575.49 and 6,085.10

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Solution

The fourth proportional to 10,561.70, 14,575.49 and 6,085.10 is: 8,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.70 : 14,575.49 = 6,085.10 : x
  2. Step 2: Convert to fraction form
    10,561.70/14,575.49 = 6,085.10/x
  3. Step 3: Cross multiply
    10,561.70x = 14,575.49 × 6,085.10
  4. Step 4: Simplify right side
    10,561.70x = 88,693,314.20
  5. Step 5: Solve for x
    x = 88,693,314.20/10,561.70
  6. Step 6: Final answer
    x = 8,397.64

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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.