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Finding the Fourth Proportional to 10,506.48, 15,768.96 and 6,117.84

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Solution

The fourth proportional to 10,506.48, 15,768.96 and 6,117.84 is: 9,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.48 : 15,768.96 = 6,117.84 : x
  2. Step 2: Convert to fraction form
    10,506.48/15,768.96 = 6,117.84/x
  3. Step 3: Cross multiply
    10,506.48x = 15,768.96 × 6,117.84
  4. Step 4: Simplify right side
    10,506.48x = 96,471,974.25
  5. Step 5: Solve for x
    x = 96,471,974.25/10,506.48
  6. Step 6: Final answer
    x = 9,182.14

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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.