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Finding the Fourth Proportional to 7,308.90, 10,938.78 and 6,078.78

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Solution

The fourth proportional to 7,308.90, 10,938.78 and 6,078.78 is: 9,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.90 : 10,938.78 = 6,078.78 : x
  2. Step 2: Convert to fraction form
    7,308.90/10,938.78 = 6,078.78/x
  3. Step 3: Cross multiply
    7,308.90x = 10,938.78 × 6,078.78
  4. Step 4: Simplify right side
    7,308.90x = 66,494,437.09
  5. Step 5: Solve for x
    x = 66,494,437.09/7,308.90
  6. Step 6: Final answer
    x = 9,097.74

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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.