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Finding the Fourth Proportional to 11,347.44, 17,010.23 and 5,803.40

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Solution

The fourth proportional to 11,347.44, 17,010.23 and 5,803.40 is: 8,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.44 : 17,010.23 = 5,803.40 : x
  2. Step 2: Convert to fraction form
    11,347.44/17,010.23 = 5,803.40/x
  3. Step 3: Cross multiply
    11,347.44x = 17,010.23 × 5,803.40
  4. Step 4: Simplify right side
    11,347.44x = 98,717,054.71
  5. Step 5: Solve for x
    x = 98,717,054.71/11,347.44
  6. Step 6: Final answer
    x = 8,699.50

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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.