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Finding the Fourth Proportional to 10,012.95, 13,818.90 and 5,764.17

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Solution

The fourth proportional to 10,012.95, 13,818.90 and 5,764.17 is: 7,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.95 : 13,818.90 = 5,764.17 : x
  2. Step 2: Convert to fraction form
    10,012.95/13,818.90 = 5,764.17/x
  3. Step 3: Cross multiply
    10,012.95x = 13,818.90 × 5,764.17
  4. Step 4: Simplify right side
    10,012.95x = 79,654,488.81
  5. Step 5: Solve for x
    x = 79,654,488.81/10,012.95
  6. Step 6: Final answer
    x = 7,955.15

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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.