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Finding the Fourth Proportional to 7,524.63, 10,380.71 and 4,538.81

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Solution

The fourth proportional to 7,524.63, 10,380.71 and 4,538.81 is: 6,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.63 : 10,380.71 = 4,538.81 : x
  2. Step 2: Convert to fraction form
    7,524.63/10,380.71 = 4,538.81/x
  3. Step 3: Cross multiply
    7,524.63x = 10,380.71 × 4,538.81
  4. Step 4: Simplify right side
    7,524.63x = 47,116,070.36
  5. Step 5: Solve for x
    x = 47,116,070.36/7,524.63
  6. Step 6: Final answer
    x = 6,261.58

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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.