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Finding the Fourth Proportional to 7,798.34, 11,698.43 and 6,041.00

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Solution

The fourth proportional to 7,798.34, 11,698.43 and 6,041.00 is: 9,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.34 : 11,698.43 = 6,041.00 : x
  2. Step 2: Convert to fraction form
    7,798.34/11,698.43 = 6,041.00/x
  3. Step 3: Cross multiply
    7,798.34x = 11,698.43 × 6,041.00
  4. Step 4: Simplify right side
    7,798.34x = 70,670,126.93
  5. Step 5: Solve for x
    x = 70,670,126.93/7,798.34
  6. Step 6: Final answer
    x = 9,062.21

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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.