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Finding the Fourth Proportional to 6,307.74, 8,705.07 and 3,513.24

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Solution

The fourth proportional to 6,307.74, 8,705.07 and 3,513.24 is: 4,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.74 : 8,705.07 = 3,513.24 : x
  2. Step 2: Convert to fraction form
    6,307.74/8,705.07 = 3,513.24/x
  3. Step 3: Cross multiply
    6,307.74x = 8,705.07 × 3,513.24
  4. Step 4: Simplify right side
    6,307.74x = 30,583,000.13
  5. Step 5: Solve for x
    x = 30,583,000.13/6,307.74
  6. Step 6: Final answer
    x = 4,848.49

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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.