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Finding the Fourth Proportional to 11,493.32, 15,860.34 and 7,024.55

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Solution

The fourth proportional to 11,493.32, 15,860.34 and 7,024.55 is: 9,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.32 : 15,860.34 = 7,024.55 : x
  2. Step 2: Convert to fraction form
    11,493.32/15,860.34 = 7,024.55/x
  3. Step 3: Cross multiply
    11,493.32x = 15,860.34 × 7,024.55
  4. Step 4: Simplify right side
    11,493.32x = 111,411,672.05
  5. Step 5: Solve for x
    x = 111,411,672.05/11,493.32
  6. Step 6: Final answer
    x = 9,693.61

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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.