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Finding the Fourth Proportional to 8,341.46, 11,510.80 and 4,564.70

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Solution

The fourth proportional to 8,341.46, 11,510.80 and 4,564.70 is: 6,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.46 : 11,510.80 = 4,564.70 : x
  2. Step 2: Convert to fraction form
    8,341.46/11,510.80 = 4,564.70/x
  3. Step 3: Cross multiply
    8,341.46x = 11,510.80 × 4,564.70
  4. Step 4: Simplify right side
    8,341.46x = 52,543,348.76
  5. Step 5: Solve for x
    x = 52,543,348.76/8,341.46
  6. Step 6: Final answer
    x = 6,299.06

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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.