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Finding the Fourth Proportional to 10,712.14, 16,050.93 and 6,599.50

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Solution

The fourth proportional to 10,712.14, 16,050.93 and 6,599.50 is: 9,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.14 : 16,050.93 = 6,599.50 : x
  2. Step 2: Convert to fraction form
    10,712.14/16,050.93 = 6,599.50/x
  3. Step 3: Cross multiply
    10,712.14x = 16,050.93 × 6,599.50
  4. Step 4: Simplify right side
    10,712.14x = 105,928,112.54
  5. Step 5: Solve for x
    x = 105,928,112.54/10,712.14
  6. Step 6: Final answer
    x = 9,888.60

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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.