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Finding the Fourth Proportional to 10,030.09, 13,837.16 and 6,048.99

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Solution

The fourth proportional to 10,030.09, 13,837.16 and 6,048.99 is: 8,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.09 : 13,837.16 = 6,048.99 : x
  2. Step 2: Convert to fraction form
    10,030.09/13,837.16 = 6,048.99/x
  3. Step 3: Cross multiply
    10,030.09x = 13,837.16 × 6,048.99
  4. Step 4: Simplify right side
    10,030.09x = 83,700,842.47
  5. Step 5: Solve for x
    x = 83,700,842.47/10,030.09
  6. Step 6: Final answer
    x = 8,344.97

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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.