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Finding the Fourth Proportional to 10,044.81, 15,075.72 and 6,353.64

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Solution

The fourth proportional to 10,044.81, 15,075.72 and 6,353.64 is: 9,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.81 : 15,075.72 = 6,353.64 : x
  2. Step 2: Convert to fraction form
    10,044.81/15,075.72 = 6,353.64/x
  3. Step 3: Cross multiply
    10,044.81x = 15,075.72 × 6,353.64
  4. Step 4: Simplify right side
    10,044.81x = 95,785,697.62
  5. Step 5: Solve for x
    x = 95,785,697.62/10,044.81
  6. Step 6: Final answer
    x = 9,535.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.