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Finding the Fourth Proportional to 7,786.65, 10,745.93 and 4,430.07

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Solution

The fourth proportional to 7,786.65, 10,745.93 and 4,430.07 is: 6,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.65 : 10,745.93 = 4,430.07 : x
  2. Step 2: Convert to fraction form
    7,786.65/10,745.93 = 4,430.07/x
  3. Step 3: Cross multiply
    7,786.65x = 10,745.93 × 4,430.07
  4. Step 4: Simplify right side
    7,786.65x = 47,605,199.96
  5. Step 5: Solve for x
    x = 47,605,199.96/7,786.65
  6. Step 6: Final answer
    x = 6,113.69

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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.