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Finding the Fourth Proportional to 11,038.13, 15,232.62 and 6,070.13

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Solution

The fourth proportional to 11,038.13, 15,232.62 and 6,070.13 is: 8,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.13 : 15,232.62 = 6,070.13 : x
  2. Step 2: Convert to fraction form
    11,038.13/15,232.62 = 6,070.13/x
  3. Step 3: Cross multiply
    11,038.13x = 15,232.62 × 6,070.13
  4. Step 4: Simplify right side
    11,038.13x = 92,463,983.64
  5. Step 5: Solve for x
    x = 92,463,983.64/11,038.13
  6. Step 6: Final answer
    x = 8,376.78

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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.