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Finding the Fourth Proportional to 10,004.16, 13,804.74 and 6,024.63

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Solution

The fourth proportional to 10,004.16, 13,804.74 and 6,024.63 is: 8,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.16 : 13,804.74 = 6,024.63 : x
  2. Step 2: Convert to fraction form
    10,004.16/13,804.74 = 6,024.63/x
  3. Step 3: Cross multiply
    10,004.16x = 13,804.74 × 6,024.63
  4. Step 4: Simplify right side
    10,004.16x = 83,168,450.75
  5. Step 5: Solve for x
    x = 83,168,450.75/10,004.16
  6. Step 6: Final answer
    x = 8,313.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.