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Finding the Fourth Proportional to 10,005.88, 15,026.12 and 6,133

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Solution

The fourth proportional to 10,005.88, 15,026.12 and 6,133 is: 9,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.88 : 15,026.12 = 6,133 : x
  2. Step 2: Convert to fraction form
    10,005.88/15,026.12 = 6,133/x
  3. Step 3: Cross multiply
    10,005.88x = 15,026.12 × 6,133
  4. Step 4: Simplify right side
    10,005.88x = 92,155,193.96
  5. Step 5: Solve for x
    x = 92,155,193.96/10,005.88
  6. Step 6: Final answer
    x = 9,210.10

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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.