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Finding the Fourth Proportional to 7,088.64, 9,783.30 and 4,105.41

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Solution

The fourth proportional to 7,088.64, 9,783.30 and 4,105.41 is: 5,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.64 : 9,783.30 = 4,105.41 : x
  2. Step 2: Convert to fraction form
    7,088.64/9,783.30 = 4,105.41/x
  3. Step 3: Cross multiply
    7,088.64x = 9,783.30 × 4,105.41
  4. Step 4: Simplify right side
    7,088.64x = 40,164,457.65
  5. Step 5: Solve for x
    x = 40,164,457.65/7,088.64
  6. Step 6: Final answer
    x = 5,666.03

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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.