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Finding the Fourth Proportional to 6,133.68, 8,470.48 and 5,244.32

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Solution

The fourth proportional to 6,133.68, 8,470.48 and 5,244.32 is: 7,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.68 : 8,470.48 = 5,244.32 : x
  2. Step 2: Convert to fraction form
    6,133.68/8,470.48 = 5,244.32/x
  3. Step 3: Cross multiply
    6,133.68x = 8,470.48 × 5,244.32
  4. Step 4: Simplify right side
    6,133.68x = 44,421,907.67
  5. Step 5: Solve for x
    x = 44,421,907.67/6,133.68
  6. Step 6: Final answer
    x = 7,242.29

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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.