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Finding the Fourth Proportional to 10,830.90, 16,246.35 and 9,794.10

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Solution

The fourth proportional to 10,830.90, 16,246.35 and 9,794.10 is: 14,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.90 : 16,246.35 = 9,794.10 : x
  2. Step 2: Convert to fraction form
    10,830.90/16,246.35 = 9,794.10/x
  3. Step 3: Cross multiply
    10,830.90x = 16,246.35 × 9,794.10
  4. Step 4: Simplify right side
    10,830.90x = 159,118,376.54
  5. Step 5: Solve for x
    x = 159,118,376.54/10,830.90
  6. Step 6: Final answer
    x = 14,691.15

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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.