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Finding the Fourth Proportional to 10,403.54, 15,610 and 5,661.14

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Solution

The fourth proportional to 10,403.54, 15,610 and 5,661.14 is: 8,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.54 : 15,610 = 5,661.14 : x
  2. Step 2: Convert to fraction form
    10,403.54/15,610 = 5,661.14/x
  3. Step 3: Cross multiply
    10,403.54x = 15,610 × 5,661.14
  4. Step 4: Simplify right side
    10,403.54x = 88,370,395.40
  5. Step 5: Solve for x
    x = 88,370,395.40/10,403.54
  6. Step 6: Final answer
    x = 8,494.26

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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.