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Finding the Fourth Proportional to 11,544.50, 15,931.42 and 6,576.50

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Solution

The fourth proportional to 11,544.50, 15,931.42 and 6,576.50 is: 9,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.50 : 15,931.42 = 6,576.50 : x
  2. Step 2: Convert to fraction form
    11,544.50/15,931.42 = 6,576.50/x
  3. Step 3: Cross multiply
    11,544.50x = 15,931.42 × 6,576.50
  4. Step 4: Simplify right side
    11,544.50x = 104,772,983.63
  5. Step 5: Solve for x
    x = 104,772,983.63/11,544.50
  6. Step 6: Final answer
    x = 9,075.58

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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.