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Finding the Fourth Proportional to 9,024.68, 13,518.83 and 7,558.55

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Solution

The fourth proportional to 9,024.68, 13,518.83 and 7,558.55 is: 11,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.68 : 13,518.83 = 7,558.55 : x
  2. Step 2: Convert to fraction form
    9,024.68/13,518.83 = 7,558.55/x
  3. Step 3: Cross multiply
    9,024.68x = 13,518.83 × 7,558.55
  4. Step 4: Simplify right side
    9,024.68x = 102,182,752.50
  5. Step 5: Solve for x
    x = 102,182,752.50/9,024.68
  6. Step 6: Final answer
    x = 11,322.59

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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.