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Finding the Fourth Proportional to 7,513.51, 10,368.02 and 4,156.33

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Solution

The fourth proportional to 7,513.51, 10,368.02 and 4,156.33 is: 5,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.51 : 10,368.02 = 4,156.33 : x
  2. Step 2: Convert to fraction form
    7,513.51/10,368.02 = 4,156.33/x
  3. Step 3: Cross multiply
    7,513.51x = 10,368.02 × 4,156.33
  4. Step 4: Simplify right side
    7,513.51x = 43,092,893.10
  5. Step 5: Solve for x
    x = 43,092,893.10/7,513.51
  6. Step 6: Final answer
    x = 5,735.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.