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Finding the Fourth Proportional to 7,513.74, 10,368.06 and 4,156.14

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Solution

The fourth proportional to 7,513.74, 10,368.06 and 4,156.14 is: 5,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.74 : 10,368.06 = 4,156.14 : x
  2. Step 2: Convert to fraction form
    7,513.74/10,368.06 = 4,156.14/x
  3. Step 3: Cross multiply
    7,513.74x = 10,368.06 × 4,156.14
  4. Step 4: Simplify right side
    7,513.74x = 43,091,108.89
  5. Step 5: Solve for x
    x = 43,091,108.89/7,513.74
  6. Step 6: Final answer
    x = 5,734.97

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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.