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Finding the Fourth Proportional to 5,146.83, 7,060.35 and 5,009.94

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Solution

The fourth proportional to 5,146.83, 7,060.35 and 5,009.94 is: 6,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.83 : 7,060.35 = 5,009.94 : x
  2. Step 2: Convert to fraction form
    5,146.83/7,060.35 = 5,009.94/x
  3. Step 3: Cross multiply
    5,146.83x = 7,060.35 × 5,009.94
  4. Step 4: Simplify right side
    5,146.83x = 35,371,929.88
  5. Step 5: Solve for x
    x = 35,371,929.88/5,146.83
  6. Step 6: Final answer
    x = 6,872.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.