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Finding the Fourth Proportional to 8,376, 12,565.98 and 4,865.10

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Solution

The fourth proportional to 8,376, 12,565.98 and 4,865.10 is: 7,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376 : 12,565.98 = 4,865.10 : x
  2. Step 2: Convert to fraction form
    8,376/12,565.98 = 4,865.10/x
  3. Step 3: Cross multiply
    8,376x = 12,565.98 × 4,865.10
  4. Step 4: Simplify right side
    8,376x = 61,134,749.30
  5. Step 5: Solve for x
    x = 61,134,749.30/8,376
  6. Step 6: Final answer
    x = 7,298.80

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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.