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Finding the Fourth Proportional to 10,002.64, 15,013.37 and 5,075.81

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Solution

The fourth proportional to 10,002.64, 15,013.37 and 5,075.81 is: 7,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.64 : 15,013.37 = 5,075.81 : x
  2. Step 2: Convert to fraction form
    10,002.64/15,013.37 = 5,075.81/x
  3. Step 3: Cross multiply
    10,002.64x = 15,013.37 × 5,075.81
  4. Step 4: Simplify right side
    10,002.64x = 76,205,051.11
  5. Step 5: Solve for x
    x = 76,205,051.11/10,002.64
  6. Step 6: Final answer
    x = 7,618.50

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Why These Related Problems?

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