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Finding the Fourth Proportional to 11,038.16, 15,232.45 and 6,002.34

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Solution

The fourth proportional to 11,038.16, 15,232.45 and 6,002.34 is: 8,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.16 : 15,232.45 = 6,002.34 : x
  2. Step 2: Convert to fraction form
    11,038.16/15,232.45 = 6,002.34/x
  3. Step 3: Cross multiply
    11,038.16x = 15,232.45 × 6,002.34
  4. Step 4: Simplify right side
    11,038.16x = 91,430,343.93
  5. Step 5: Solve for x
    x = 91,430,343.93/11,038.16
  6. Step 6: Final answer
    x = 8,283.11

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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.