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Finding the Fourth Proportional to 7,554, 11,332.28 and 2,358.84

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Solution

The fourth proportional to 7,554, 11,332.28 and 2,358.84 is: 3,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554 : 11,332.28 = 2,358.84 : x
  2. Step 2: Convert to fraction form
    7,554/11,332.28 = 2,358.84/x
  3. Step 3: Cross multiply
    7,554x = 11,332.28 × 2,358.84
  4. Step 4: Simplify right side
    7,554x = 26,731,035.36
  5. Step 5: Solve for x
    x = 26,731,035.36/7,554
  6. Step 6: Final answer
    x = 3,538.66

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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.