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Finding the Fourth Proportional to 7,541.84, 10,408.20 and 4,355.60

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Solution

The fourth proportional to 7,541.84, 10,408.20 and 4,355.60 is: 6,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.84 : 10,408.20 = 4,355.60 : x
  2. Step 2: Convert to fraction form
    7,541.84/10,408.20 = 4,355.60/x
  3. Step 3: Cross multiply
    7,541.84x = 10,408.20 × 4,355.60
  4. Step 4: Simplify right side
    7,541.84x = 45,333,955.92
  5. Step 5: Solve for x
    x = 45,333,955.92/7,541.84
  6. Step 6: Final answer
    x = 6,010.99

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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.