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Finding the Fourth Proportional to 10,396.83, 15,602.76 and 4,072.65

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Solution

The fourth proportional to 10,396.83, 15,602.76 and 4,072.65 is: 6,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.83 : 15,602.76 = 4,072.65 : x
  2. Step 2: Convert to fraction form
    10,396.83/15,602.76 = 4,072.65/x
  3. Step 3: Cross multiply
    10,396.83x = 15,602.76 × 4,072.65
  4. Step 4: Simplify right side
    10,396.83x = 63,544,580.51
  5. Step 5: Solve for x
    x = 63,544,580.51/10,396.83
  6. Step 6: Final answer
    x = 6,111.92

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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.