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Finding the Fourth Proportional to 8,896, 12,262.34 and 7,004.58

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Solution

The fourth proportional to 8,896, 12,262.34 and 7,004.58 is: 9,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896 : 12,262.34 = 7,004.58 : x
  2. Step 2: Convert to fraction form
    8,896/12,262.34 = 7,004.58/x
  3. Step 3: Cross multiply
    8,896x = 12,262.34 × 7,004.58
  4. Step 4: Simplify right side
    8,896x = 85,892,541.52
  5. Step 5: Solve for x
    x = 85,892,541.52/8,896
  6. Step 6: Final answer
    x = 9,655.19

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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.