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Finding the Fourth Proportional to 10,038.47, 15,058.47 and 2,642.82

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Solution

The fourth proportional to 10,038.47, 15,058.47 and 2,642.82 is: 3,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.47 : 15,058.47 = 2,642.82 : x
  2. Step 2: Convert to fraction form
    10,038.47/15,058.47 = 2,642.82/x
  3. Step 3: Cross multiply
    10,038.47x = 15,058.47 × 2,642.82
  4. Step 4: Simplify right side
    10,038.47x = 39,796,825.69
  5. Step 5: Solve for x
    x = 39,796,825.69/10,038.47
  6. Step 6: Final answer
    x = 3,964.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.