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Finding the Fourth Proportional to 7,565.42, 11,347.79 and 2,300.55

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Solution

The fourth proportional to 7,565.42, 11,347.79 and 2,300.55 is: 3,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.42 : 11,347.79 = 2,300.55 : x
  2. Step 2: Convert to fraction form
    7,565.42/11,347.79 = 2,300.55/x
  3. Step 3: Cross multiply
    7,565.42x = 11,347.79 × 2,300.55
  4. Step 4: Simplify right side
    7,565.42x = 26,106,146.78
  5. Step 5: Solve for x
    x = 26,106,146.78/7,565.42
  6. Step 6: Final answer
    x = 3,450.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.