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Finding the Fourth Proportional to 7,808.84, 11,702.94 and 4,678.76

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Solution

The fourth proportional to 7,808.84, 11,702.94 and 4,678.76 is: 7,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.84 : 11,702.94 = 4,678.76 : x
  2. Step 2: Convert to fraction form
    7,808.84/11,702.94 = 4,678.76/x
  3. Step 3: Cross multiply
    7,808.84x = 11,702.94 × 4,678.76
  4. Step 4: Simplify right side
    7,808.84x = 54,755,247.55
  5. Step 5: Solve for x
    x = 54,755,247.55/7,808.84
  6. Step 6: Final answer
    x = 7,011.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.