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Finding the Fourth Proportional to 7,859.96, 10,845.95 and 4,457.13

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Solution

The fourth proportional to 7,859.96, 10,845.95 and 4,457.13 is: 6,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.96 : 10,845.95 = 4,457.13 : x
  2. Step 2: Convert to fraction form
    7,859.96/10,845.95 = 4,457.13/x
  3. Step 3: Cross multiply
    7,859.96x = 10,845.95 × 4,457.13
  4. Step 4: Simplify right side
    7,859.96x = 48,341,809.12
  5. Step 5: Solve for x
    x = 48,341,809.12/7,859.96
  6. Step 6: Final answer
    x = 6,150.39

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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.