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Finding the Fourth Proportional to 10,656.30, 15,971.69 and 7,531.62

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Solution

The fourth proportional to 10,656.30, 15,971.69 and 7,531.62 is: 11,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.30 : 15,971.69 = 7,531.62 : x
  2. Step 2: Convert to fraction form
    10,656.30/15,971.69 = 7,531.62/x
  3. Step 3: Cross multiply
    10,656.30x = 15,971.69 × 7,531.62
  4. Step 4: Simplify right side
    10,656.30x = 120,292,662.18
  5. Step 5: Solve for x
    x = 120,292,662.18/10,656.30
  6. Step 6: Final answer
    x = 11,288.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.