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Finding the Fourth Proportional to 8,746.89, 12,066.85 and 5,913.22

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Solution

The fourth proportional to 8,746.89, 12,066.85 and 5,913.22 is: 8,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.89 : 12,066.85 = 5,913.22 : x
  2. Step 2: Convert to fraction form
    8,746.89/12,066.85 = 5,913.22/x
  3. Step 3: Cross multiply
    8,746.89x = 12,066.85 × 5,913.22
  4. Step 4: Simplify right side
    8,746.89x = 71,353,938.76
  5. Step 5: Solve for x
    x = 71,353,938.76/8,746.89
  6. Step 6: Final answer
    x = 8,157.64

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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.