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Finding the Fourth Proportional to 10,970.73, 15,138.30 and 6,190.40

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Solution

The fourth proportional to 10,970.73, 15,138.30 and 6,190.40 is: 8,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.73 : 15,138.30 = 6,190.40 : x
  2. Step 2: Convert to fraction form
    10,970.73/15,138.30 = 6,190.40/x
  3. Step 3: Cross multiply
    10,970.73x = 15,138.30 × 6,190.40
  4. Step 4: Simplify right side
    10,970.73x = 93,712,056.63
  5. Step 5: Solve for x
    x = 93,712,056.63/10,970.73
  6. Step 6: Final answer
    x = 8,542.01

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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.