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Finding the Fourth Proportional to 11,075.40, 16,580.70 and 9,779.40

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Solution

The fourth proportional to 11,075.40, 16,580.70 and 9,779.40 is: 14,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.40 : 16,580.70 = 9,779.40 : x
  2. Step 2: Convert to fraction form
    11,075.40/16,580.70 = 9,779.40/x
  3. Step 3: Cross multiply
    11,075.40x = 16,580.70 × 9,779.40
  4. Step 4: Simplify right side
    11,075.40x = 162,149,297.58
  5. Step 5: Solve for x
    x = 162,149,297.58/11,075.40
  6. Step 6: Final answer
    x = 14,640.49

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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.