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Finding the Fourth Proportional to 10,363.71, 14,297.64 and 7,221.72

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Solution

The fourth proportional to 10,363.71, 14,297.64 and 7,221.72 is: 9,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.71 : 14,297.64 = 7,221.72 : x
  2. Step 2: Convert to fraction form
    10,363.71/14,297.64 = 7,221.72/x
  3. Step 3: Cross multiply
    10,363.71x = 14,297.64 × 7,221.72
  4. Step 4: Simplify right side
    10,363.71x = 103,253,552.74
  5. Step 5: Solve for x
    x = 103,253,552.74/10,363.71
  6. Step 6: Final answer
    x = 9,962.99

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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.