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Finding the Fourth Proportional to 7,535.54, 10,408.74 and 5,788.64

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Solution

The fourth proportional to 7,535.54, 10,408.74 and 5,788.64 is: 7,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.54 : 10,408.74 = 5,788.64 : x
  2. Step 2: Convert to fraction form
    7,535.54/10,408.74 = 5,788.64/x
  3. Step 3: Cross multiply
    7,535.54x = 10,408.74 × 5,788.64
  4. Step 4: Simplify right side
    7,535.54x = 60,252,448.71
  5. Step 5: Solve for x
    x = 60,252,448.71/7,535.54
  6. Step 6: Final answer
    x = 7,995.77

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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.