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Finding the Fourth Proportional to 10,038.45, 13,852.49 and 5,561.94

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Solution

The fourth proportional to 10,038.45, 13,852.49 and 5,561.94 is: 7,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.45 : 13,852.49 = 5,561.94 : x
  2. Step 2: Convert to fraction form
    10,038.45/13,852.49 = 5,561.94/x
  3. Step 3: Cross multiply
    10,038.45x = 13,852.49 × 5,561.94
  4. Step 4: Simplify right side
    10,038.45x = 77,046,690.42
  5. Step 5: Solve for x
    x = 77,046,690.42/10,038.45
  6. Step 6: Final answer
    x = 7,675.16

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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.