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Finding the Fourth Proportional to 10,657.51, 14,707.38 and 5,941.69

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Solution

The fourth proportional to 10,657.51, 14,707.38 and 5,941.69 is: 8,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.51 : 14,707.38 = 5,941.69 : x
  2. Step 2: Convert to fraction form
    10,657.51/14,707.38 = 5,941.69/x
  3. Step 3: Cross multiply
    10,657.51x = 14,707.38 × 5,941.69
  4. Step 4: Simplify right side
    10,657.51x = 87,386,692.67
  5. Step 5: Solve for x
    x = 87,386,692.67/10,657.51
  6. Step 6: Final answer
    x = 8,199.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.