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Finding the Fourth Proportional to 10,629.84, 15,948 and 5,439.36

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Solution

The fourth proportional to 10,629.84, 15,948 and 5,439.36 is: 8,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.84 : 15,948 = 5,439.36 : x
  2. Step 2: Convert to fraction form
    10,629.84/15,948 = 5,439.36/x
  3. Step 3: Cross multiply
    10,629.84x = 15,948 × 5,439.36
  4. Step 4: Simplify right side
    10,629.84x = 86,746,913.28
  5. Step 5: Solve for x
    x = 86,746,913.28/10,629.84
  6. Step 6: Final answer
    x = 8,160.70

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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.