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Finding the Fourth Proportional to 11,026.76, 15,215.22 and 7,051.40

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Solution

The fourth proportional to 11,026.76, 15,215.22 and 7,051.40 is: 9,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.76 : 15,215.22 = 7,051.40 : x
  2. Step 2: Convert to fraction form
    11,026.76/15,215.22 = 7,051.40/x
  3. Step 3: Cross multiply
    11,026.76x = 15,215.22 × 7,051.40
  4. Step 4: Simplify right side
    11,026.76x = 107,288,602.31
  5. Step 5: Solve for x
    x = 107,288,602.31/11,026.76
  6. Step 6: Final answer
    x = 9,729.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.