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Finding the Fourth Proportional to 7,376.40, 11,080.80 and 5,189.40

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Solution

The fourth proportional to 7,376.40, 11,080.80 and 5,189.40 is: 7,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376.40 : 11,080.80 = 5,189.40 : x
  2. Step 2: Convert to fraction form
    7,376.40/11,080.80 = 5,189.40/x
  3. Step 3: Cross multiply
    7,376.40x = 11,080.80 × 5,189.40
  4. Step 4: Simplify right side
    7,376.40x = 57,502,703.52
  5. Step 5: Solve for x
    x = 57,502,703.52/7,376.40
  6. Step 6: Final answer
    x = 7,795.50

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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.