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Finding the Fourth Proportional to 10,174.12, 15,252.06 and 6,465.94

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Solution

The fourth proportional to 10,174.12, 15,252.06 and 6,465.94 is: 9,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.12 : 15,252.06 = 6,465.94 : x
  2. Step 2: Convert to fraction form
    10,174.12/15,252.06 = 6,465.94/x
  3. Step 3: Cross multiply
    10,174.12x = 15,252.06 × 6,465.94
  4. Step 4: Simplify right side
    10,174.12x = 98,618,904.84
  5. Step 5: Solve for x
    x = 98,618,904.84/10,174.12
  6. Step 6: Final answer
    x = 9,693.11

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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.