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Finding the Fourth Proportional to 8,716, 13,075.44 and 7,155.04

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Solution

The fourth proportional to 8,716, 13,075.44 and 7,155.04 is: 10,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716 : 13,075.44 = 7,155.04 : x
  2. Step 2: Convert to fraction form
    8,716/13,075.44 = 7,155.04/x
  3. Step 3: Cross multiply
    8,716x = 13,075.44 × 7,155.04
  4. Step 4: Simplify right side
    8,716x = 93,555,296.22
  5. Step 5: Solve for x
    x = 93,555,296.22/8,716
  6. Step 6: Final answer
    x = 10,733.74

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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.