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Finding the Fourth Proportional to 6,703.42, 10,054.50 and 5,260

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Solution

The fourth proportional to 6,703.42, 10,054.50 and 5,260 is: 7,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.42 : 10,054.50 = 5,260 : x
  2. Step 2: Convert to fraction form
    6,703.42/10,054.50 = 5,260/x
  3. Step 3: Cross multiply
    6,703.42x = 10,054.50 × 5,260
  4. Step 4: Simplify right side
    6,703.42x = 52,886,670
  5. Step 5: Solve for x
    x = 52,886,670/6,703.42
  6. Step 6: Final answer
    x = 7,889.51

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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.