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Finding the Fourth Proportional to 10,678.40, 16,017.36 and 4,830.80

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Solution

The fourth proportional to 10,678.40, 16,017.36 and 4,830.80 is: 7,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.40 : 16,017.36 = 4,830.80 : x
  2. Step 2: Convert to fraction form
    10,678.40/16,017.36 = 4,830.80/x
  3. Step 3: Cross multiply
    10,678.40x = 16,017.36 × 4,830.80
  4. Step 4: Simplify right side
    10,678.40x = 77,376,662.69
  5. Step 5: Solve for x
    x = 77,376,662.69/10,678.40
  6. Step 6: Final answer
    x = 7,246.09

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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.