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Finding the Fourth Proportional to 11,038.32, 15,233.06 and 6,002.64

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Solution

The fourth proportional to 11,038.32, 15,233.06 and 6,002.64 is: 8,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.32 : 15,233.06 = 6,002.64 : x
  2. Step 2: Convert to fraction form
    11,038.32/15,233.06 = 6,002.64/x
  3. Step 3: Cross multiply
    11,038.32x = 15,233.06 × 6,002.64
  4. Step 4: Simplify right side
    11,038.32x = 91,438,590.29
  5. Step 5: Solve for x
    x = 91,438,590.29/11,038.32
  6. Step 6: Final answer
    x = 8,283.74

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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.