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Finding the Fourth Proportional to 10,325.30, 15,461.64 and 6,804.63

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Solution

The fourth proportional to 10,325.30, 15,461.64 and 6,804.63 is: 10,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.30 : 15,461.64 = 6,804.63 : x
  2. Step 2: Convert to fraction form
    10,325.30/15,461.64 = 6,804.63/x
  3. Step 3: Cross multiply
    10,325.30x = 15,461.64 × 6,804.63
  4. Step 4: Simplify right side
    10,325.30x = 105,210,739.39
  5. Step 5: Solve for x
    x = 105,210,739.39/10,325.30
  6. Step 6: Final answer
    x = 10,189.61

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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.