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Finding the Fourth Proportional to 8,696.29, 13,034.35 and 4,006.46

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Solution

The fourth proportional to 8,696.29, 13,034.35 and 4,006.46 is: 6,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.29 : 13,034.35 = 4,006.46 : x
  2. Step 2: Convert to fraction form
    8,696.29/13,034.35 = 4,006.46/x
  3. Step 3: Cross multiply
    8,696.29x = 13,034.35 × 4,006.46
  4. Step 4: Simplify right side
    8,696.29x = 52,221,526.71
  5. Step 5: Solve for x
    x = 52,221,526.71/8,696.29
  6. Step 6: Final answer
    x = 6,005.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.