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Finding the Fourth Proportional to 11,562.01, 15,955.38 and 6,457.25

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Solution

The fourth proportional to 11,562.01, 15,955.38 and 6,457.25 is: 8,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.01 : 15,955.38 = 6,457.25 : x
  2. Step 2: Convert to fraction form
    11,562.01/15,955.38 = 6,457.25/x
  3. Step 3: Cross multiply
    11,562.01x = 15,955.38 × 6,457.25
  4. Step 4: Simplify right side
    11,562.01x = 103,027,877.51
  5. Step 5: Solve for x
    x = 103,027,877.51/11,562.01
  6. Step 6: Final answer
    x = 8,910.90

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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.