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Finding the Fourth Proportional to 10,085.76, 15,123.06 and 4,161.06

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Solution

The fourth proportional to 10,085.76, 15,123.06 and 4,161.06 is: 6,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.76 : 15,123.06 = 4,161.06 : x
  2. Step 2: Convert to fraction form
    10,085.76/15,123.06 = 4,161.06/x
  3. Step 3: Cross multiply
    10,085.76x = 15,123.06 × 4,161.06
  4. Step 4: Simplify right side
    10,085.76x = 62,927,960.04
  5. Step 5: Solve for x
    x = 62,927,960.04/10,085.76
  6. Step 6: Final answer
    x = 6,239.29

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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.