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Finding the Fourth Proportional to 7,089.98, 9,785.58 and 4,106.48

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Solution

The fourth proportional to 7,089.98, 9,785.58 and 4,106.48 is: 5,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.98 : 9,785.58 = 4,106.48 : x
  2. Step 2: Convert to fraction form
    7,089.98/9,785.58 = 4,106.48/x
  3. Step 3: Cross multiply
    7,089.98x = 9,785.58 × 4,106.48
  4. Step 4: Simplify right side
    7,089.98x = 40,184,288.56
  5. Step 5: Solve for x
    x = 40,184,288.56/7,089.98
  6. Step 6: Final answer
    x = 5,667.76

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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.