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Finding the Fourth Proportional to 8,312, 11,472.04 and 4,956.76

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Solution

The fourth proportional to 8,312, 11,472.04 and 4,956.76 is: 6,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 11,472.04 = 4,956.76 : x
  2. Step 2: Convert to fraction form
    8,312/11,472.04 = 4,956.76/x
  3. Step 3: Cross multiply
    8,312x = 11,472.04 × 4,956.76
  4. Step 4: Simplify right side
    8,312x = 56,864,148.99
  5. Step 5: Solve for x
    x = 56,864,148.99/8,312
  6. Step 6: Final answer
    x = 6,841.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.