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Finding the Fourth Proportional to 8,457.60, 11,671.32 and 5,269.30

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Solution

The fourth proportional to 8,457.60, 11,671.32 and 5,269.30 is: 7,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.60 : 11,671.32 = 5,269.30 : x
  2. Step 2: Convert to fraction form
    8,457.60/11,671.32 = 5,269.30/x
  3. Step 3: Cross multiply
    8,457.60x = 11,671.32 × 5,269.30
  4. Step 4: Simplify right side
    8,457.60x = 61,499,686.48
  5. Step 5: Solve for x
    x = 61,499,686.48/8,457.60
  6. Step 6: Final answer
    x = 7,271.53

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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.