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Finding the Fourth Proportional to 10,433.96, 14,398.76 and 5,653.79

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Solution

The fourth proportional to 10,433.96, 14,398.76 and 5,653.79 is: 7,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.96 : 14,398.76 = 5,653.79 : x
  2. Step 2: Convert to fraction form
    10,433.96/14,398.76 = 5,653.79/x
  3. Step 3: Cross multiply
    10,433.96x = 14,398.76 × 5,653.79
  4. Step 4: Simplify right side
    10,433.96x = 81,407,587.16
  5. Step 5: Solve for x
    x = 81,407,587.16/10,433.96
  6. Step 6: Final answer
    x = 7,802.18

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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.