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Finding the Fourth Proportional to 8,386.67, 11,574.34 and 4,610.57

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Solution

The fourth proportional to 8,386.67, 11,574.34 and 4,610.57 is: 6,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.67 : 11,574.34 = 4,610.57 : x
  2. Step 2: Convert to fraction form
    8,386.67/11,574.34 = 4,610.57/x
  3. Step 3: Cross multiply
    8,386.67x = 11,574.34 × 4,610.57
  4. Step 4: Simplify right side
    8,386.67x = 53,364,300.81
  5. Step 5: Solve for x
    x = 53,364,300.81/8,386.67
  6. Step 6: Final answer
    x = 6,362.99

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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.