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Finding the Fourth Proportional to 7,596.88, 11,397.16 and 3,700.40

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Solution

The fourth proportional to 7,596.88, 11,397.16 and 3,700.40 is: 5,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.88 : 11,397.16 = 3,700.40 : x
  2. Step 2: Convert to fraction form
    7,596.88/11,397.16 = 3,700.40/x
  3. Step 3: Cross multiply
    7,596.88x = 11,397.16 × 3,700.40
  4. Step 4: Simplify right side
    7,596.88x = 42,174,050.86
  5. Step 5: Solve for x
    x = 42,174,050.86/7,596.88
  6. Step 6: Final answer
    x = 5,551.50

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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.