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Finding the Fourth Proportional to 7,808.48, 10,774.64 and 4,664

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Solution

The fourth proportional to 7,808.48, 10,774.64 and 4,664 is: 6,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.48 : 10,774.64 = 4,664 : x
  2. Step 2: Convert to fraction form
    7,808.48/10,774.64 = 4,664/x
  3. Step 3: Cross multiply
    7,808.48x = 10,774.64 × 4,664
  4. Step 4: Simplify right side
    7,808.48x = 50,252,920.96
  5. Step 5: Solve for x
    x = 50,252,920.96/7,808.48
  6. Step 6: Final answer
    x = 6,435.69

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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.