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Finding the Fourth Proportional to 10,536.64, 14,544.24 and 7,000.80

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Solution

The fourth proportional to 10,536.64, 14,544.24 and 7,000.80 is: 9,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.64 : 14,544.24 = 7,000.80 : x
  2. Step 2: Convert to fraction form
    10,536.64/14,544.24 = 7,000.80/x
  3. Step 3: Cross multiply
    10,536.64x = 14,544.24 × 7,000.80
  4. Step 4: Simplify right side
    10,536.64x = 101,821,315.39
  5. Step 5: Solve for x
    x = 101,821,315.39/10,536.64
  6. Step 6: Final answer
    x = 9,663.55

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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.