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Finding the Fourth Proportional to 10,612.40, 14,645.76 and 5,896.64

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Solution

The fourth proportional to 10,612.40, 14,645.76 and 5,896.64 is: 8,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.40 : 14,645.76 = 5,896.64 : x
  2. Step 2: Convert to fraction form
    10,612.40/14,645.76 = 5,896.64/x
  3. Step 3: Cross multiply
    10,612.40x = 14,645.76 × 5,896.64
  4. Step 4: Simplify right side
    10,612.40x = 86,360,774.25
  5. Step 5: Solve for x
    x = 86,360,774.25/10,612.40
  6. Step 6: Final answer
    x = 8,137.72

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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.