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Finding the Fourth Proportional to 7,678.84, 11,511.54 and 6,373.45

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Solution

The fourth proportional to 7,678.84, 11,511.54 and 6,373.45 is: 9,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.84 : 11,511.54 = 6,373.45 : x
  2. Step 2: Convert to fraction form
    7,678.84/11,511.54 = 6,373.45/x
  3. Step 3: Cross multiply
    7,678.84x = 11,511.54 × 6,373.45
  4. Step 4: Simplify right side
    7,678.84x = 73,368,224.61
  5. Step 5: Solve for x
    x = 73,368,224.61/7,678.84
  6. Step 6: Final answer
    x = 9,554.60

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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.