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Finding the Fourth Proportional to 10,366.79, 15,538 and 4,808.43

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Solution

The fourth proportional to 10,366.79, 15,538 and 4,808.43 is: 7,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.79 : 15,538 = 4,808.43 : x
  2. Step 2: Convert to fraction form
    10,366.79/15,538 = 4,808.43/x
  3. Step 3: Cross multiply
    10,366.79x = 15,538 × 4,808.43
  4. Step 4: Simplify right side
    10,366.79x = 74,713,385.34
  5. Step 5: Solve for x
    x = 74,713,385.34/10,366.79
  6. Step 6: Final answer
    x = 7,206.99

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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.