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Finding the Fourth Proportional to 10,018.63, 15,024.53 and 4,094.63

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Solution

The fourth proportional to 10,018.63, 15,024.53 and 4,094.63 is: 6,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.63 : 15,024.53 = 4,094.63 : x
  2. Step 2: Convert to fraction form
    10,018.63/15,024.53 = 4,094.63/x
  3. Step 3: Cross multiply
    10,018.63x = 15,024.53 × 4,094.63
  4. Step 4: Simplify right side
    10,018.63x = 61,519,826.39
  5. Step 5: Solve for x
    x = 61,519,826.39/10,018.63
  6. Step 6: Final answer
    x = 6,140.54

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Why These Related Problems?

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