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Finding the Fourth Proportional to 10,270.80, 15,373.80 and 7,354.80

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Solution

The fourth proportional to 10,270.80, 15,373.80 and 7,354.80 is: 11,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.80 : 15,373.80 = 7,354.80 : x
  2. Step 2: Convert to fraction form
    10,270.80/15,373.80 = 7,354.80/x
  3. Step 3: Cross multiply
    10,270.80x = 15,373.80 × 7,354.80
  4. Step 4: Simplify right side
    10,270.80x = 113,071,224.24
  5. Step 5: Solve for x
    x = 113,071,224.24/10,270.80
  6. Step 6: Final answer
    x = 11,009.00

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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.