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Finding the Fourth Proportional to 28,038.13, 42,058 and 7,261.63

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Solution

The fourth proportional to 28,038.13, 42,058 and 7,261.63 is: 10,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,038.13 : 42,058 = 7,261.63 : x
  2. Step 2: Convert to fraction form
    28,038.13/42,058 = 7,261.63/x
  3. Step 3: Cross multiply
    28,038.13x = 42,058 × 7,261.63
  4. Step 4: Simplify right side
    28,038.13x = 305,409,634.54
  5. Step 5: Solve for x
    x = 305,409,634.54/28,038.13
  6. Step 6: Final answer
    x = 10,892.65

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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.