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Finding the Fourth Proportional to 10,943.48, 15,099 and 6,465.26

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Solution

The fourth proportional to 10,943.48, 15,099 and 6,465.26 is: 8,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.48 : 15,099 = 6,465.26 : x
  2. Step 2: Convert to fraction form
    10,943.48/15,099 = 6,465.26/x
  3. Step 3: Cross multiply
    10,943.48x = 15,099 × 6,465.26
  4. Step 4: Simplify right side
    10,943.48x = 97,618,960.74
  5. Step 5: Solve for x
    x = 97,618,960.74/10,943.48
  6. Step 6: Final answer
    x = 8,920.29

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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.