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Finding the Fourth Proportional to 10,477.10, 15,715.65 and 4,932.65

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Solution

The fourth proportional to 10,477.10, 15,715.65 and 4,932.65 is: 7,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.10 : 15,715.65 = 4,932.65 : x
  2. Step 2: Convert to fraction form
    10,477.10/15,715.65 = 4,932.65/x
  3. Step 3: Cross multiply
    10,477.10x = 15,715.65 × 4,932.65
  4. Step 4: Simplify right side
    10,477.10x = 77,519,858.76
  5. Step 5: Solve for x
    x = 77,519,858.76/10,477.10
  6. Step 6: Final answer
    x = 7,398.98

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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.