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Finding the Fourth Proportional to 10,052.64, 15,078.08 and 4,506.32

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Solution

The fourth proportional to 10,052.64, 15,078.08 and 4,506.32 is: 6,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.64 : 15,078.08 = 4,506.32 : x
  2. Step 2: Convert to fraction form
    10,052.64/15,078.08 = 4,506.32/x
  3. Step 3: Cross multiply
    10,052.64x = 15,078.08 × 4,506.32
  4. Step 4: Simplify right side
    10,052.64x = 67,946,653.47
  5. Step 5: Solve for x
    x = 67,946,653.47/10,052.64
  6. Step 6: Final answer
    x = 6,759.09

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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.