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Finding the Fourth Proportional to 17,710.79, 26,568 and 7,852.28

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Solution

The fourth proportional to 17,710.79, 26,568 and 7,852.28 is: 11,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.79 : 26,568 = 7,852.28 : x
  2. Step 2: Convert to fraction form
    17,710.79/26,568 = 7,852.28/x
  3. Step 3: Cross multiply
    17,710.79x = 26,568 × 7,852.28
  4. Step 4: Simplify right side
    17,710.79x = 208,619,242.20
  5. Step 5: Solve for x
    x = 208,619,242.20/17,710.79
  6. Step 6: Final answer
    x = 11,779.22

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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.