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Finding the Fourth Proportional to 10,386.88, 15,582.36 and 3,813.10

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Solution

The fourth proportional to 10,386.88, 15,582.36 and 3,813.10 is: 5,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.88 : 15,582.36 = 3,813.10 : x
  2. Step 2: Convert to fraction form
    10,386.88/15,582.36 = 3,813.10/x
  3. Step 3: Cross multiply
    10,386.88x = 15,582.36 × 3,813.10
  4. Step 4: Simplify right side
    10,386.88x = 59,417,096.92
  5. Step 5: Solve for x
    x = 59,417,096.92/10,386.88
  6. Step 6: Final answer
    x = 5,720.40

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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.