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Finding the Fourth Proportional to 10,829.63, 14,943.93 and 6,048.93

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Solution

The fourth proportional to 10,829.63, 14,943.93 and 6,048.93 is: 8,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.63 : 14,943.93 = 6,048.93 : x
  2. Step 2: Convert to fraction form
    10,829.63/14,943.93 = 6,048.93/x
  3. Step 3: Cross multiply
    10,829.63x = 14,943.93 × 6,048.93
  4. Step 4: Simplify right side
    10,829.63x = 90,394,809.18
  5. Step 5: Solve for x
    x = 90,394,809.18/10,829.63
  6. Step 6: Final answer
    x = 8,346.99

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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.