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Finding the Fourth Proportional to 10,208.84, 15,292.76 and 4,654.54

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Solution

The fourth proportional to 10,208.84, 15,292.76 and 4,654.54 is: 6,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.84 : 15,292.76 = 4,654.54 : x
  2. Step 2: Convert to fraction form
    10,208.84/15,292.76 = 4,654.54/x
  3. Step 3: Cross multiply
    10,208.84x = 15,292.76 × 4,654.54
  4. Step 4: Simplify right side
    10,208.84x = 71,180,812.17
  5. Step 5: Solve for x
    x = 71,180,812.17/10,208.84
  6. Step 6: Final answer
    x = 6,972.47

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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.