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Finding the Fourth Proportional to 10,707.12, 16,065 and 4,857.84

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Solution

The fourth proportional to 10,707.12, 16,065 and 4,857.84 is: 7,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.12 : 16,065 = 4,857.84 : x
  2. Step 2: Convert to fraction form
    10,707.12/16,065 = 4,857.84/x
  3. Step 3: Cross multiply
    10,707.12x = 16,065 × 4,857.84
  4. Step 4: Simplify right side
    10,707.12x = 78,041,199.60
  5. Step 5: Solve for x
    x = 78,041,199.60/10,707.12
  6. Step 6: Final answer
    x = 7,288.72

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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.