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Finding the Fourth Proportional to 10,038.85, 15,058.37 and 4,114.21

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Solution

The fourth proportional to 10,038.85, 15,058.37 and 4,114.21 is: 6,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.85 : 15,058.37 = 4,114.21 : x
  2. Step 2: Convert to fraction form
    10,038.85/15,058.37 = 4,114.21/x
  3. Step 3: Cross multiply
    10,038.85x = 15,058.37 × 4,114.21
  4. Step 4: Simplify right side
    10,038.85x = 61,953,238.22
  5. Step 5: Solve for x
    x = 61,953,238.22/10,038.85
  6. Step 6: Final answer
    x = 6,171.35

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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.