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Finding the Fourth Proportional to 11,553.68, 15,941.16 and 7,075.88

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Solution

The fourth proportional to 11,553.68, 15,941.16 and 7,075.88 is: 9,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.68 : 15,941.16 = 7,075.88 : x
  2. Step 2: Convert to fraction form
    11,553.68/15,941.16 = 7,075.88/x
  3. Step 3: Cross multiply
    11,553.68x = 15,941.16 × 7,075.88
  4. Step 4: Simplify right side
    11,553.68x = 112,797,735.22
  5. Step 5: Solve for x
    x = 112,797,735.22/11,553.68
  6. Step 6: Final answer
    x = 9,762.93

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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.