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Finding the Fourth Proportional to 7,707.36, 10,642.47 and 4,879.29

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Solution

The fourth proportional to 7,707.36, 10,642.47 and 4,879.29 is: 6,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.36 : 10,642.47 = 4,879.29 : x
  2. Step 2: Convert to fraction form
    7,707.36/10,642.47 = 4,879.29/x
  3. Step 3: Cross multiply
    7,707.36x = 10,642.47 × 4,879.29
  4. Step 4: Simplify right side
    7,707.36x = 51,927,697.45
  5. Step 5: Solve for x
    x = 51,927,697.45/7,707.36
  6. Step 6: Final answer
    x = 6,737.42

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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.