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Finding the Fourth Proportional to 10,939.96, 15,097.13 and 6,465.32

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Solution

The fourth proportional to 10,939.96, 15,097.13 and 6,465.32 is: 8,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.96 : 15,097.13 = 6,465.32 : x
  2. Step 2: Convert to fraction form
    10,939.96/15,097.13 = 6,465.32/x
  3. Step 3: Cross multiply
    10,939.96x = 15,097.13 × 6,465.32
  4. Step 4: Simplify right side
    10,939.96x = 97,607,701.05
  5. Step 5: Solve for x
    x = 97,607,701.05/10,939.96
  6. Step 6: Final answer
    x = 8,922.13

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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.