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Finding the Fourth Proportional to 6,482.51, 9,722.30 and 2,533.86

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Solution

The fourth proportional to 6,482.51, 9,722.30 and 2,533.86 is: 3,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.51 : 9,722.30 = 2,533.86 : x
  2. Step 2: Convert to fraction form
    6,482.51/9,722.30 = 2,533.86/x
  3. Step 3: Cross multiply
    6,482.51x = 9,722.30 × 2,533.86
  4. Step 4: Simplify right side
    6,482.51x = 24,634,934.41
  5. Step 5: Solve for x
    x = 24,634,934.41/6,482.51
  6. Step 6: Final answer
    x = 3,800.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.