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Finding the Fourth Proportional to 8,432.49, 11,636.62 and 4,656.01

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Solution

The fourth proportional to 8,432.49, 11,636.62 and 4,656.01 is: 6,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.49 : 11,636.62 = 4,656.01 : x
  2. Step 2: Convert to fraction form
    8,432.49/11,636.62 = 4,656.01/x
  3. Step 3: Cross multiply
    8,432.49x = 11,636.62 × 4,656.01
  4. Step 4: Simplify right side
    8,432.49x = 54,180,219.09
  5. Step 5: Solve for x
    x = 54,180,219.09/8,432.49
  6. Step 6: Final answer
    x = 6,425.17

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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.