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Finding the Fourth Proportional to 10,634.46, 14,677.02 and 6,159.62

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Solution

The fourth proportional to 10,634.46, 14,677.02 and 6,159.62 is: 8,501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.46 : 14,677.02 = 6,159.62 : x
  2. Step 2: Convert to fraction form
    10,634.46/14,677.02 = 6,159.62/x
  3. Step 3: Cross multiply
    10,634.46x = 14,677.02 × 6,159.62
  4. Step 4: Simplify right side
    10,634.46x = 90,404,792.55
  5. Step 5: Solve for x
    x = 90,404,792.55/10,634.46
  6. Step 6: Final answer
    x = 8,501.12

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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.