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Finding the Fourth Proportional to 8,457.78, 11,671.66 and 4,680.96

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Solution

The fourth proportional to 8,457.78, 11,671.66 and 4,680.96 is: 6,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.78 : 11,671.66 = 4,680.96 : x
  2. Step 2: Convert to fraction form
    8,457.78/11,671.66 = 4,680.96/x
  3. Step 3: Cross multiply
    8,457.78x = 11,671.66 × 4,680.96
  4. Step 4: Simplify right side
    8,457.78x = 54,634,509.35
  5. Step 5: Solve for x
    x = 54,634,509.35/8,457.78
  6. Step 6: Final answer
    x = 6,459.67

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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.