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Finding the Fourth Proportional to 7,514.02, 10,368.92 and 4,156.64

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Solution

The fourth proportional to 7,514.02, 10,368.92 and 4,156.64 is: 5,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.02 : 10,368.92 = 4,156.64 : x
  2. Step 2: Convert to fraction form
    7,514.02/10,368.92 = 4,156.64/x
  3. Step 3: Cross multiply
    7,514.02x = 10,368.92 × 4,156.64
  4. Step 4: Simplify right side
    7,514.02x = 43,099,795.00
  5. Step 5: Solve for x
    x = 43,099,795.00/7,514.02
  6. Step 6: Final answer
    x = 5,735.92

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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.