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Finding the Fourth Proportional to 11,572.58, 15,970.21 and 6,536.86

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Solution

The fourth proportional to 11,572.58, 15,970.21 and 6,536.86 is: 9,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.58 : 15,970.21 = 6,536.86 : x
  2. Step 2: Convert to fraction form
    11,572.58/15,970.21 = 6,536.86/x
  3. Step 3: Cross multiply
    11,572.58x = 15,970.21 × 6,536.86
  4. Step 4: Simplify right side
    11,572.58x = 104,395,026.94
  5. Step 5: Solve for x
    x = 104,395,026.94/11,572.58
  6. Step 6: Final answer
    x = 9,020.89

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