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Finding the Fourth Proportional to 10,700.70, 16,075.68 and 7,588.41

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Solution

The fourth proportional to 10,700.70, 16,075.68 and 7,588.41 is: 11,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.70 : 16,075.68 = 7,588.41 : x
  2. Step 2: Convert to fraction form
    10,700.70/16,075.68 = 7,588.41/x
  3. Step 3: Cross multiply
    10,700.70x = 16,075.68 × 7,588.41
  4. Step 4: Simplify right side
    10,700.70x = 121,988,850.87
  5. Step 5: Solve for x
    x = 121,988,850.87/10,700.70
  6. Step 6: Final answer
    x = 11,400.08

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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.