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Finding the Fourth Proportional to 7,559.52, 11,319.84 and 6,393.12

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Solution

The fourth proportional to 7,559.52, 11,319.84 and 6,393.12 is: 9,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.52 : 11,319.84 = 6,393.12 : x
  2. Step 2: Convert to fraction form
    7,559.52/11,319.84 = 6,393.12/x
  3. Step 3: Cross multiply
    7,559.52x = 11,319.84 × 6,393.12
  4. Step 4: Simplify right side
    7,559.52x = 72,369,095.50
  5. Step 5: Solve for x
    x = 72,369,095.50/7,559.52
  6. Step 6: Final answer
    x = 9,573.24

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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.