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Finding the Fourth Proportional to 10,482.73, 15,710.20 and 7,696.38

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Solution

The fourth proportional to 10,482.73, 15,710.20 and 7,696.38 is: 11,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.73 : 15,710.20 = 7,696.38 : x
  2. Step 2: Convert to fraction form
    10,482.73/15,710.20 = 7,696.38/x
  3. Step 3: Cross multiply
    10,482.73x = 15,710.20 × 7,696.38
  4. Step 4: Simplify right side
    10,482.73x = 120,911,669.08
  5. Step 5: Solve for x
    x = 120,911,669.08/10,482.73
  6. Step 6: Final answer
    x = 11,534.37

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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.