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Finding the Fourth Proportional to 6,307.84, 8,705.24 and 4,179.68

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Solution

The fourth proportional to 6,307.84, 8,705.24 and 4,179.68 is: 5,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.84 : 8,705.24 = 4,179.68 : x
  2. Step 2: Convert to fraction form
    6,307.84/8,705.24 = 4,179.68/x
  3. Step 3: Cross multiply
    6,307.84x = 8,705.24 × 4,179.68
  4. Step 4: Simplify right side
    6,307.84x = 36,385,117.52
  5. Step 5: Solve for x
    x = 36,385,117.52/6,307.84
  6. Step 6: Final answer
    x = 5,768.24

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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.