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Finding the Fourth Proportional to 10,913.40, 15,058.65 and 6,438.03

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Solution

The fourth proportional to 10,913.40, 15,058.65 and 6,438.03 is: 8,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.40 : 15,058.65 = 6,438.03 : x
  2. Step 2: Convert to fraction form
    10,913.40/15,058.65 = 6,438.03/x
  3. Step 3: Cross multiply
    10,913.40x = 15,058.65 × 6,438.03
  4. Step 4: Simplify right side
    10,913.40x = 96,948,074.73
  5. Step 5: Solve for x
    x = 96,948,074.73/10,913.40
  6. Step 6: Final answer
    x = 8,883.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.