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Finding the Fourth Proportional to 8,402.56, 11,589.24 and 8,030.32

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Solution

The fourth proportional to 8,402.56, 11,589.24 and 8,030.32 is: 11,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.56 : 11,589.24 = 8,030.32 : x
  2. Step 2: Convert to fraction form
    8,402.56/11,589.24 = 8,030.32/x
  3. Step 3: Cross multiply
    8,402.56x = 11,589.24 × 8,030.32
  4. Step 4: Simplify right side
    8,402.56x = 93,065,305.76
  5. Step 5: Solve for x
    x = 93,065,305.76/8,402.56
  6. Step 6: Final answer
    x = 11,075.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.