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Finding the Fourth Proportional to 10,038.40, 13,853.03 and 5,561.93

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Solution

The fourth proportional to 10,038.40, 13,853.03 and 5,561.93 is: 7,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.40 : 13,853.03 = 5,561.93 : x
  2. Step 2: Convert to fraction form
    10,038.40/13,853.03 = 5,561.93/x
  3. Step 3: Cross multiply
    10,038.40x = 13,853.03 × 5,561.93
  4. Step 4: Simplify right side
    10,038.40x = 77,049,589.97
  5. Step 5: Solve for x
    x = 77,049,589.97/10,038.40
  6. Step 6: Final answer
    x = 7,675.49

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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.