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Finding the Fourth Proportional to 10,307.84, 14,224.56 and 6,116

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Solution

The fourth proportional to 10,307.84, 14,224.56 and 6,116 is: 8,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.84 : 14,224.56 = 6,116 : x
  2. Step 2: Convert to fraction form
    10,307.84/14,224.56 = 6,116/x
  3. Step 3: Cross multiply
    10,307.84x = 14,224.56 × 6,116
  4. Step 4: Simplify right side
    10,307.84x = 86,997,408.96
  5. Step 5: Solve for x
    x = 86,997,408.96/10,307.84
  6. Step 6: Final answer
    x = 8,439.93

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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.