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Finding the Fourth Proportional to 10,617.42, 15,925.05 and 2,827.02

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Solution

The fourth proportional to 10,617.42, 15,925.05 and 2,827.02 is: 4,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.42 : 15,925.05 = 2,827.02 : x
  2. Step 2: Convert to fraction form
    10,617.42/15,925.05 = 2,827.02/x
  3. Step 3: Cross multiply
    10,617.42x = 15,925.05 × 2,827.02
  4. Step 4: Simplify right side
    10,617.42x = 45,020,434.85
  5. Step 5: Solve for x
    x = 45,020,434.85/10,617.42
  6. Step 6: Final answer
    x = 4,240.24

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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.