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Finding the Fourth Proportional to 10,536.67, 14,543.65 and 6,954.24

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Solution

The fourth proportional to 10,536.67, 14,543.65 and 6,954.24 is: 9,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.67 : 14,543.65 = 6,954.24 : x
  2. Step 2: Convert to fraction form
    10,536.67/14,543.65 = 6,954.24/x
  3. Step 3: Cross multiply
    10,536.67x = 14,543.65 × 6,954.24
  4. Step 4: Simplify right side
    10,536.67x = 101,140,014.00
  5. Step 5: Solve for x
    x = 101,140,014.00/10,536.67
  6. Step 6: Final answer
    x = 9,598.86

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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.