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Finding the Fourth Proportional to 7,156.36, 9,875.80 and 4,012.54

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Solution

The fourth proportional to 7,156.36, 9,875.80 and 4,012.54 is: 5,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.36 : 9,875.80 = 4,012.54 : x
  2. Step 2: Convert to fraction form
    7,156.36/9,875.80 = 4,012.54/x
  3. Step 3: Cross multiply
    7,156.36x = 9,875.80 × 4,012.54
  4. Step 4: Simplify right side
    7,156.36x = 39,627,042.53
  5. Step 5: Solve for x
    x = 39,627,042.53/7,156.36
  6. Step 6: Final answer
    x = 5,537.32

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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.