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Finding the Fourth Proportional to 10,085.80, 15,128.70 and 6,586.60

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Solution

The fourth proportional to 10,085.80, 15,128.70 and 6,586.60 is: 9,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.80 : 15,128.70 = 6,586.60 : x
  2. Step 2: Convert to fraction form
    10,085.80/15,128.70 = 6,586.60/x
  3. Step 3: Cross multiply
    10,085.80x = 15,128.70 × 6,586.60
  4. Step 4: Simplify right side
    10,085.80x = 99,646,695.42
  5. Step 5: Solve for x
    x = 99,646,695.42/10,085.80
  6. Step 6: Final answer
    x = 9,879.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.