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Finding the Fourth Proportional to 11,572.60, 15,970.66 and 6,536.96

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Solution

The fourth proportional to 11,572.60, 15,970.66 and 6,536.96 is: 9,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.60 : 15,970.66 = 6,536.96 : x
  2. Step 2: Convert to fraction form
    11,572.60/15,970.66 = 6,536.96/x
  3. Step 3: Cross multiply
    11,572.60x = 15,970.66 × 6,536.96
  4. Step 4: Simplify right side
    11,572.60x = 104,399,565.59
  5. Step 5: Solve for x
    x = 104,399,565.59/11,572.60
  6. Step 6: Final answer
    x = 9,021.27

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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.