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Finding the Fourth Proportional to 8,312.16, 11,470.68 and 4,586.16

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Solution

The fourth proportional to 8,312.16, 11,470.68 and 4,586.16 is: 6,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.16 : 11,470.68 = 4,586.16 : x
  2. Step 2: Convert to fraction form
    8,312.16/11,470.68 = 4,586.16/x
  3. Step 3: Cross multiply
    8,312.16x = 11,470.68 × 4,586.16
  4. Step 4: Simplify right side
    8,312.16x = 52,606,373.79
  5. Step 5: Solve for x
    x = 52,606,373.79/8,312.16
  6. Step 6: Final answer
    x = 6,328.85

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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.