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Finding the Fourth Proportional to 8,703.62, 13,051.14 and 3,156.14

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Solution

The fourth proportional to 8,703.62, 13,051.14 and 3,156.14 is: 4,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.62 : 13,051.14 = 3,156.14 : x
  2. Step 2: Convert to fraction form
    8,703.62/13,051.14 = 3,156.14/x
  3. Step 3: Cross multiply
    8,703.62x = 13,051.14 × 3,156.14
  4. Step 4: Simplify right side
    8,703.62x = 41,191,159.74
  5. Step 5: Solve for x
    x = 41,191,159.74/8,703.62
  6. Step 6: Final answer
    x = 4,732.65

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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.