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Finding the Fourth Proportional to 10,363.84, 14,318.80 and 7,234

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Solution

The fourth proportional to 10,363.84, 14,318.80 and 7,234 is: 9,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.84 : 14,318.80 = 7,234 : x
  2. Step 2: Convert to fraction form
    10,363.84/14,318.80 = 7,234/x
  3. Step 3: Cross multiply
    10,363.84x = 14,318.80 × 7,234
  4. Step 4: Simplify right side
    10,363.84x = 103,582,199.20
  5. Step 5: Solve for x
    x = 103,582,199.20/10,363.84
  6. Step 6: Final answer
    x = 9,994.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.