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Finding the Fourth Proportional to 7,143.37, 10,731.53 and 6,848.13

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Solution

The fourth proportional to 7,143.37, 10,731.53 and 6,848.13 is: 10,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.37 : 10,731.53 = 6,848.13 : x
  2. Step 2: Convert to fraction form
    7,143.37/10,731.53 = 6,848.13/x
  3. Step 3: Cross multiply
    7,143.37x = 10,731.53 × 6,848.13
  4. Step 4: Simplify right side
    7,143.37x = 73,490,824.64
  5. Step 5: Solve for x
    x = 73,490,824.64/7,143.37
  6. Step 6: Final answer
    x = 10,287.98

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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.