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Finding the Fourth Proportional to 8,457.53, 11,671.29 and 4,680.72

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Solution

The fourth proportional to 8,457.53, 11,671.29 and 4,680.72 is: 6,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.53 : 11,671.29 = 4,680.72 : x
  2. Step 2: Convert to fraction form
    8,457.53/11,671.29 = 4,680.72/x
  3. Step 3: Cross multiply
    8,457.53x = 11,671.29 × 4,680.72
  4. Step 4: Simplify right side
    8,457.53x = 54,630,040.53
  5. Step 5: Solve for x
    x = 54,630,040.53/8,457.53
  6. Step 6: Final answer
    x = 6,459.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.