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Finding the Fourth Proportional to 7,764.72, 10,718.40 and 5,408.16

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Solution

The fourth proportional to 7,764.72, 10,718.40 and 5,408.16 is: 7,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.72 : 10,718.40 = 5,408.16 : x
  2. Step 2: Convert to fraction form
    7,764.72/10,718.40 = 5,408.16/x
  3. Step 3: Cross multiply
    7,764.72x = 10,718.40 × 5,408.16
  4. Step 4: Simplify right side
    7,764.72x = 57,966,822.14
  5. Step 5: Solve for x
    x = 57,966,822.14/7,764.72
  6. Step 6: Final answer
    x = 7,465.41

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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.