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Finding the Fourth Proportional to 7,156.42, 9,875.73 and 4,012.61

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Solution

The fourth proportional to 7,156.42, 9,875.73 and 4,012.61 is: 5,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.42 : 9,875.73 = 4,012.61 : x
  2. Step 2: Convert to fraction form
    7,156.42/9,875.73 = 4,012.61/x
  3. Step 3: Cross multiply
    7,156.42x = 9,875.73 × 4,012.61
  4. Step 4: Simplify right side
    7,156.42x = 39,627,455.66
  5. Step 5: Solve for x
    x = 39,627,455.66/7,156.42
  6. Step 6: Final answer
    x = 5,537.33

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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.