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Finding the Fourth Proportional to 7,408.72, 10,216.34 and 5,730.40

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Solution

The fourth proportional to 7,408.72, 10,216.34 and 5,730.40 is: 7,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.72 : 10,216.34 = 5,730.40 : x
  2. Step 2: Convert to fraction form
    7,408.72/10,216.34 = 5,730.40/x
  3. Step 3: Cross multiply
    7,408.72x = 10,216.34 × 5,730.40
  4. Step 4: Simplify right side
    7,408.72x = 58,543,714.74
  5. Step 5: Solve for x
    x = 58,543,714.74/7,408.72
  6. Step 6: Final answer
    x = 7,902.00

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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.