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Finding the Fourth Proportional to 10,447.61, 15,670.71 and 4,902.17

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Solution

The fourth proportional to 10,447.61, 15,670.71 and 4,902.17 is: 7,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.61 : 15,670.71 = 4,902.17 : x
  2. Step 2: Convert to fraction form
    10,447.61/15,670.71 = 4,902.17/x
  3. Step 3: Cross multiply
    10,447.61x = 15,670.71 × 4,902.17
  4. Step 4: Simplify right side
    10,447.61x = 76,820,406.09
  5. Step 5: Solve for x
    x = 76,820,406.09/10,447.61
  6. Step 6: Final answer
    x = 7,352.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.