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Finding the Fourth Proportional to 6,145.53, 8,474.13 and 4,152.63

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Solution

The fourth proportional to 6,145.53, 8,474.13 and 4,152.63 is: 5,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.53 : 8,474.13 = 4,152.63 : x
  2. Step 2: Convert to fraction form
    6,145.53/8,474.13 = 4,152.63/x
  3. Step 3: Cross multiply
    6,145.53x = 8,474.13 × 4,152.63
  4. Step 4: Simplify right side
    6,145.53x = 35,189,926.46
  5. Step 5: Solve for x
    x = 35,189,926.46/6,145.53
  6. Step 6: Final answer
    x = 5,726.10

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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.