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Finding the Fourth Proportional to 8,466.40, 12,698.16 and 2,308.96

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Solution

The fourth proportional to 8,466.40, 12,698.16 and 2,308.96 is: 3,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.40 : 12,698.16 = 2,308.96 : x
  2. Step 2: Convert to fraction form
    8,466.40/12,698.16 = 2,308.96/x
  3. Step 3: Cross multiply
    8,466.40x = 12,698.16 × 2,308.96
  4. Step 4: Simplify right side
    8,466.40x = 29,319,543.51
  5. Step 5: Solve for x
    x = 29,319,543.51/8,466.40
  6. Step 6: Final answer
    x = 3,463.05

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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.