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Finding the Fourth Proportional to 10,386.67, 15,582.06 and 3,812.92

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Solution

The fourth proportional to 10,386.67, 15,582.06 and 3,812.92 is: 5,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.67 : 15,582.06 = 3,812.92 : x
  2. Step 2: Convert to fraction form
    10,386.67/15,582.06 = 3,812.92/x
  3. Step 3: Cross multiply
    10,386.67x = 15,582.06 × 3,812.92
  4. Step 4: Simplify right side
    10,386.67x = 59,413,148.22
  5. Step 5: Solve for x
    x = 59,413,148.22/10,386.67
  6. Step 6: Final answer
    x = 5,720.13

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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.