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Finding the Fourth Proportional to 8,337.94, 12,509.40 and 4,827.13

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Solution

The fourth proportional to 8,337.94, 12,509.40 and 4,827.13 is: 7,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.94 : 12,509.40 = 4,827.13 : x
  2. Step 2: Convert to fraction form
    8,337.94/12,509.40 = 4,827.13/x
  3. Step 3: Cross multiply
    8,337.94x = 12,509.40 × 4,827.13
  4. Step 4: Simplify right side
    8,337.94x = 60,384,486.85
  5. Step 5: Solve for x
    x = 60,384,486.85/8,337.94
  6. Step 6: Final answer
    x = 7,242.14

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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.