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Finding the Fourth Proportional to 10,030.85, 13,838.97 and 6,050.51

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Solution

The fourth proportional to 10,030.85, 13,838.97 and 6,050.51 is: 8,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.85 : 13,838.97 = 6,050.51 : x
  2. Step 2: Convert to fraction form
    10,030.85/13,838.97 = 6,050.51/x
  3. Step 3: Cross multiply
    10,030.85x = 13,838.97 × 6,050.51
  4. Step 4: Simplify right side
    10,030.85x = 83,732,757.18
  5. Step 5: Solve for x
    x = 83,732,757.18/10,030.85
  6. Step 6: Final answer
    x = 8,347.53

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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.