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Finding the Fourth Proportional to 11,700.96, 17,559 and 4,776

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Solution

The fourth proportional to 11,700.96, 17,559 and 4,776 is: 7,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.96 : 17,559 = 4,776 : x
  2. Step 2: Convert to fraction form
    11,700.96/17,559 = 4,776/x
  3. Step 3: Cross multiply
    11,700.96x = 17,559 × 4,776
  4. Step 4: Simplify right side
    11,700.96x = 83,861,784
  5. Step 5: Solve for x
    x = 83,861,784/11,700.96
  6. Step 6: Final answer
    x = 7,167.09

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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.