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Finding the Fourth Proportional to 6,501.60, 9,752.40 and 5,408.10

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Solution

The fourth proportional to 6,501.60, 9,752.40 and 5,408.10 is: 8,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.60 : 9,752.40 = 5,408.10 : x
  2. Step 2: Convert to fraction form
    6,501.60/9,752.40 = 5,408.10/x
  3. Step 3: Cross multiply
    6,501.60x = 9,752.40 × 5,408.10
  4. Step 4: Simplify right side
    6,501.60x = 52,741,954.44
  5. Step 5: Solve for x
    x = 52,741,954.44/6,501.60
  6. Step 6: Final answer
    x = 8,112.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.