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Finding the Fourth Proportional to 7,526.13, 11,264 and 7,426.56

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Solution

The fourth proportional to 7,526.13, 11,264 and 7,426.56 is: 11,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,526.13 : 11,264 = 7,426.56 : x
  2. Step 2: Convert to fraction form
    7,526.13/11,264 = 7,426.56/x
  3. Step 3: Cross multiply
    7,526.13x = 11,264 × 7,426.56
  4. Step 4: Simplify right side
    7,526.13x = 83,652,771.84
  5. Step 5: Solve for x
    x = 83,652,771.84/7,526.13
  6. Step 6: Final answer
    x = 11,114.98

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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.