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Finding the Fourth Proportional to 8,457.32, 11,671.29 and 5,478.34

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Solution

The fourth proportional to 8,457.32, 11,671.29 and 5,478.34 is: 7,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.32 : 11,671.29 = 5,478.34 : x
  2. Step 2: Convert to fraction form
    8,457.32/11,671.29 = 5,478.34/x
  3. Step 3: Cross multiply
    8,457.32x = 11,671.29 × 5,478.34
  4. Step 4: Simplify right side
    8,457.32x = 63,939,294.86
  5. Step 5: Solve for x
    x = 63,939,294.86/8,457.32
  6. Step 6: Final answer
    x = 7,560.23

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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.