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Finding the Fourth Proportional to 10,300.64, 15,448.59 and 6,141.83

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Solution

The fourth proportional to 10,300.64, 15,448.59 and 6,141.83 is: 9,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.64 : 15,448.59 = 6,141.83 : x
  2. Step 2: Convert to fraction form
    10,300.64/15,448.59 = 6,141.83/x
  3. Step 3: Cross multiply
    10,300.64x = 15,448.59 × 6,141.83
  4. Step 4: Simplify right side
    10,300.64x = 94,882,536.28
  5. Step 5: Solve for x
    x = 94,882,536.28/10,300.64
  6. Step 6: Final answer
    x = 9,211.33

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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.