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Finding the Fourth Proportional to 10,038.17, 15,066.44 and 5,111.21

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Solution

The fourth proportional to 10,038.17, 15,066.44 and 5,111.21 is: 7,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.17 : 15,066.44 = 5,111.21 : x
  2. Step 2: Convert to fraction form
    10,038.17/15,066.44 = 5,111.21/x
  3. Step 3: Cross multiply
    10,038.17x = 15,066.44 × 5,111.21
  4. Step 4: Simplify right side
    10,038.17x = 77,007,738.79
  5. Step 5: Solve for x
    x = 77,007,738.79/10,038.17
  6. Step 6: Final answer
    x = 7,671.49

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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.