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Finding the Fourth Proportional to 10,506.48, 15,755.52 and 4,659.12

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Solution

The fourth proportional to 10,506.48, 15,755.52 and 4,659.12 is: 6,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.48 : 15,755.52 = 4,659.12 : x
  2. Step 2: Convert to fraction form
    10,506.48/15,755.52 = 4,659.12/x
  3. Step 3: Cross multiply
    10,506.48x = 15,755.52 × 4,659.12
  4. Step 4: Simplify right side
    10,506.48x = 73,406,858.34
  5. Step 5: Solve for x
    x = 73,406,858.34/10,506.48
  6. Step 6: Final answer
    x = 6,986.82

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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.