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Finding the Fourth Proportional to 10,037.59, 13,851.98 and 5,561.41

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Solution

The fourth proportional to 10,037.59, 13,851.98 and 5,561.41 is: 7,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.59 : 13,851.98 = 5,561.41 : x
  2. Step 2: Convert to fraction form
    10,037.59/13,851.98 = 5,561.41/x
  3. Step 3: Cross multiply
    10,037.59x = 13,851.98 × 5,561.41
  4. Step 4: Simplify right side
    10,037.59x = 77,036,474.24
  5. Step 5: Solve for x
    x = 77,036,474.24/10,037.59
  6. Step 6: Final answer
    x = 7,674.80

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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.