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Finding the Fourth Proportional to 8,430.66, 12,647.60 and 2,587.32

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Solution

The fourth proportional to 8,430.66, 12,647.60 and 2,587.32 is: 3,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.66 : 12,647.60 = 2,587.32 : x
  2. Step 2: Convert to fraction form
    8,430.66/12,647.60 = 2,587.32/x
  3. Step 3: Cross multiply
    8,430.66x = 12,647.60 × 2,587.32
  4. Step 4: Simplify right side
    8,430.66x = 32,723,388.43
  5. Step 5: Solve for x
    x = 32,723,388.43/8,430.66
  6. Step 6: Final answer
    x = 3,881.47

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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.