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Finding the Fourth Proportional to 10,068.61, 15,102.93 and 3,827.16

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Solution

The fourth proportional to 10,068.61, 15,102.93 and 3,827.16 is: 5,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.61 : 15,102.93 = 3,827.16 : x
  2. Step 2: Convert to fraction form
    10,068.61/15,102.93 = 3,827.16/x
  3. Step 3: Cross multiply
    10,068.61x = 15,102.93 × 3,827.16
  4. Step 4: Simplify right side
    10,068.61x = 57,801,329.58
  5. Step 5: Solve for x
    x = 57,801,329.58/10,068.61
  6. Step 6: Final answer
    x = 5,740.75

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Why These Related Problems?

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