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Finding the Fourth Proportional to 7,448.83, 10,278.50 and 4,464.18

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Solution

The fourth proportional to 7,448.83, 10,278.50 and 4,464.18 is: 6,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.83 : 10,278.50 = 4,464.18 : x
  2. Step 2: Convert to fraction form
    7,448.83/10,278.50 = 4,464.18/x
  3. Step 3: Cross multiply
    7,448.83x = 10,278.50 × 4,464.18
  4. Step 4: Simplify right side
    7,448.83x = 45,885,051.81
  5. Step 5: Solve for x
    x = 45,885,051.81/7,448.83
  6. Step 6: Final answer
    x = 6,160.04

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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.