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Finding the Fourth Proportional to 10,041.93, 15,062.83 and 7,852.50

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Solution

The fourth proportional to 10,041.93, 15,062.83 and 7,852.50 is: 11,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.93 : 15,062.83 = 7,852.50 : x
  2. Step 2: Convert to fraction form
    10,041.93/15,062.83 = 7,852.50/x
  3. Step 3: Cross multiply
    10,041.93x = 15,062.83 × 7,852.50
  4. Step 4: Simplify right side
    10,041.93x = 118,280,852.94
  5. Step 5: Solve for x
    x = 118,280,852.94/10,041.93
  6. Step 6: Final answer
    x = 11,778.70

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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.