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Finding the Fourth Proportional to 10,526.21, 14,530.89 and 6,943.28

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Solution

The fourth proportional to 10,526.21, 14,530.89 and 6,943.28 is: 9,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.21 : 14,530.89 = 6,943.28 : x
  2. Step 2: Convert to fraction form
    10,526.21/14,530.89 = 6,943.28/x
  3. Step 3: Cross multiply
    10,526.21x = 14,530.89 × 6,943.28
  4. Step 4: Simplify right side
    10,526.21x = 100,891,965.26
  5. Step 5: Solve for x
    x = 100,891,965.26/10,526.21
  6. Step 6: Final answer
    x = 9,584.84

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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.