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Finding the Fourth Proportional to 7,533, 11,300.76 and 2,337.84

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Solution

The fourth proportional to 7,533, 11,300.76 and 2,337.84 is: 3,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 11,300.76 = 2,337.84 : x
  2. Step 2: Convert to fraction form
    7,533/11,300.76 = 2,337.84/x
  3. Step 3: Cross multiply
    7,533x = 11,300.76 × 2,337.84
  4. Step 4: Simplify right side
    7,533x = 26,419,368.76
  5. Step 5: Solve for x
    x = 26,419,368.76/7,533
  6. Step 6: Final answer
    x = 3,507.15

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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.