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Finding the Fourth Proportional to 10,013.46, 13,818.02 and 5,536.94

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Solution

The fourth proportional to 10,013.46, 13,818.02 and 5,536.94 is: 7,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.46 : 13,818.02 = 5,536.94 : x
  2. Step 2: Convert to fraction form
    10,013.46/13,818.02 = 5,536.94/x
  3. Step 3: Cross multiply
    10,013.46x = 13,818.02 × 5,536.94
  4. Step 4: Simplify right side
    10,013.46x = 76,509,547.66
  5. Step 5: Solve for x
    x = 76,509,547.66/10,013.46
  6. Step 6: Final answer
    x = 7,640.67

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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.