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Finding the Fourth Proportional to 7,678.40, 10,602.77 and 4,850.69

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Solution

The fourth proportional to 7,678.40, 10,602.77 and 4,850.69 is: 6,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.40 : 10,602.77 = 4,850.69 : x
  2. Step 2: Convert to fraction form
    7,678.40/10,602.77 = 4,850.69/x
  3. Step 3: Cross multiply
    7,678.40x = 10,602.77 × 4,850.69
  4. Step 4: Simplify right side
    7,678.40x = 51,430,673.14
  5. Step 5: Solve for x
    x = 51,430,673.14/7,678.40
  6. Step 6: Final answer
    x = 6,698.10

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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.