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Finding the Fourth Proportional to 10,751.14, 16,129.62 and 4,507.86

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Solution

The fourth proportional to 10,751.14, 16,129.62 and 4,507.86 is: 6,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.14 : 16,129.62 = 4,507.86 : x
  2. Step 2: Convert to fraction form
    10,751.14/16,129.62 = 4,507.86/x
  3. Step 3: Cross multiply
    10,751.14x = 16,129.62 × 4,507.86
  4. Step 4: Simplify right side
    10,751.14x = 72,710,068.81
  5. Step 5: Solve for x
    x = 72,710,068.81/10,751.14
  6. Step 6: Final answer
    x = 6,763.01

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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.