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Finding the Fourth Proportional to 7,794.48, 11,678.52 and 4,710

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Solution

The fourth proportional to 7,794.48, 11,678.52 and 4,710 is: 7,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.48 : 11,678.52 = 4,710 : x
  2. Step 2: Convert to fraction form
    7,794.48/11,678.52 = 4,710/x
  3. Step 3: Cross multiply
    7,794.48x = 11,678.52 × 4,710
  4. Step 4: Simplify right side
    7,794.48x = 55,005,829.20
  5. Step 5: Solve for x
    x = 55,005,829.20/7,794.48
  6. Step 6: Final answer
    x = 7,057.02

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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.