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Finding the Fourth Proportional to 10,532.88, 14,535 and 6,943.44

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Solution

The fourth proportional to 10,532.88, 14,535 and 6,943.44 is: 9,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.88 : 14,535 = 6,943.44 : x
  2. Step 2: Convert to fraction form
    10,532.88/14,535 = 6,943.44/x
  3. Step 3: Cross multiply
    10,532.88x = 14,535 × 6,943.44
  4. Step 4: Simplify right side
    10,532.88x = 100,922,900.40
  5. Step 5: Solve for x
    x = 100,922,900.40/10,532.88
  6. Step 6: Final answer
    x = 9,581.70

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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.