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Finding the Fourth Proportional to 11,389.68, 15,705.36 and 7,403.40

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Solution

The fourth proportional to 11,389.68, 15,705.36 and 7,403.40 is: 10,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.68 : 15,705.36 = 7,403.40 : x
  2. Step 2: Convert to fraction form
    11,389.68/15,705.36 = 7,403.40/x
  3. Step 3: Cross multiply
    11,389.68x = 15,705.36 × 7,403.40
  4. Step 4: Simplify right side
    11,389.68x = 116,273,062.22
  5. Step 5: Solve for x
    x = 116,273,062.22/11,389.68
  6. Step 6: Final answer
    x = 10,208.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.