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Finding the Fourth Proportional to 10,039.84, 13,851.36 and 6,058

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Solution

The fourth proportional to 10,039.84, 13,851.36 and 6,058 is: 8,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.84 : 13,851.36 = 6,058 : x
  2. Step 2: Convert to fraction form
    10,039.84/13,851.36 = 6,058/x
  3. Step 3: Cross multiply
    10,039.84x = 13,851.36 × 6,058
  4. Step 4: Simplify right side
    10,039.84x = 83,911,538.88
  5. Step 5: Solve for x
    x = 83,911,538.88/10,039.84
  6. Step 6: Final answer
    x = 8,357.86

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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.