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Finding the Fourth Proportional to 10,199.61, 14,075.61 and 5,723.10

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Solution

The fourth proportional to 10,199.61, 14,075.61 and 5,723.10 is: 7,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.61 : 14,075.61 = 5,723.10 : x
  2. Step 2: Convert to fraction form
    10,199.61/14,075.61 = 5,723.10/x
  3. Step 3: Cross multiply
    10,199.61x = 14,075.61 × 5,723.10
  4. Step 4: Simplify right side
    10,199.61x = 80,556,123.59
  5. Step 5: Solve for x
    x = 80,556,123.59/10,199.61
  6. Step 6: Final answer
    x = 7,897.96

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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.