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Finding the Fourth Proportional to 10,433.48, 14,398.08 and 5,717.64

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Solution

The fourth proportional to 10,433.48, 14,398.08 and 5,717.64 is: 7,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.48 : 14,398.08 = 5,717.64 : x
  2. Step 2: Convert to fraction form
    10,433.48/14,398.08 = 5,717.64/x
  3. Step 3: Cross multiply
    10,433.48x = 14,398.08 × 5,717.64
  4. Step 4: Simplify right side
    10,433.48x = 82,323,038.13
  5. Step 5: Solve for x
    x = 82,323,038.13/10,433.48
  6. Step 6: Final answer
    x = 7,890.28

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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.