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Finding the Fourth Proportional to 10,477.96, 15,711.92 and 4,926.62

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Solution

The fourth proportional to 10,477.96, 15,711.92 and 4,926.62 is: 7,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.96 : 15,711.92 = 4,926.62 : x
  2. Step 2: Convert to fraction form
    10,477.96/15,711.92 = 4,926.62/x
  3. Step 3: Cross multiply
    10,477.96x = 15,711.92 × 4,926.62
  4. Step 4: Simplify right side
    10,477.96x = 77,406,659.31
  5. Step 5: Solve for x
    x = 77,406,659.31/10,477.96
  6. Step 6: Final answer
    x = 7,387.57

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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.