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Finding the Fourth Proportional to 10,386.79, 15,582.23 and 3,813.03

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Solution

The fourth proportional to 10,386.79, 15,582.23 and 3,813.03 is: 5,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.79 : 15,582.23 = 3,813.03 : x
  2. Step 2: Convert to fraction form
    10,386.79/15,582.23 = 3,813.03/x
  3. Step 3: Cross multiply
    10,386.79x = 15,582.23 × 3,813.03
  4. Step 4: Simplify right side
    10,386.79x = 59,415,564.12
  5. Step 5: Solve for x
    x = 59,415,564.12/10,386.79
  6. Step 6: Final answer
    x = 5,720.30

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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.