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Finding the Fourth Proportional to 8,457.58, 11,666.01 and 5,806.45

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Solution

The fourth proportional to 8,457.58, 11,666.01 and 5,806.45 is: 8,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.58 : 11,666.01 = 5,806.45 : x
  2. Step 2: Convert to fraction form
    8,457.58/11,666.01 = 5,806.45/x
  3. Step 3: Cross multiply
    8,457.58x = 11,666.01 × 5,806.45
  4. Step 4: Simplify right side
    8,457.58x = 67,738,096.37
  5. Step 5: Solve for x
    x = 67,738,096.37/8,457.58
  6. Step 6: Final answer
    x = 8,009.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.