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Finding the Fourth Proportional to 10,695.51, 16,041.65 and 4,120.74

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Solution

The fourth proportional to 10,695.51, 16,041.65 and 4,120.74 is: 6,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.51 : 16,041.65 = 4,120.74 : x
  2. Step 2: Convert to fraction form
    10,695.51/16,041.65 = 4,120.74/x
  3. Step 3: Cross multiply
    10,695.51x = 16,041.65 × 4,120.74
  4. Step 4: Simplify right side
    10,695.51x = 66,103,448.22
  5. Step 5: Solve for x
    x = 66,103,448.22/10,695.51
  6. Step 6: Final answer
    x = 6,180.49

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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.