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Finding the Fourth Proportional to 8,457.32, 11,670.81 and 4,680.64

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Solution

The fourth proportional to 8,457.32, 11,670.81 and 4,680.64 is: 6,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.32 : 11,670.81 = 4,680.64 : x
  2. Step 2: Convert to fraction form
    8,457.32/11,670.81 = 4,680.64/x
  3. Step 3: Cross multiply
    8,457.32x = 11,670.81 × 4,680.64
  4. Step 4: Simplify right side
    8,457.32x = 54,626,905.37
  5. Step 5: Solve for x
    x = 54,626,905.37/8,457.32
  6. Step 6: Final answer
    x = 6,459.13

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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.