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Finding the Fourth Proportional to 10,293.84, 14,192.61 and 8,403.51

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Solution

The fourth proportional to 10,293.84, 14,192.61 and 8,403.51 is: 11,586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.84 : 14,192.61 = 8,403.51 : x
  2. Step 2: Convert to fraction form
    10,293.84/14,192.61 = 8,403.51/x
  3. Step 3: Cross multiply
    10,293.84x = 14,192.61 × 8,403.51
  4. Step 4: Simplify right side
    10,293.84x = 119,267,740.06
  5. Step 5: Solve for x
    x = 119,267,740.06/10,293.84
  6. Step 6: Final answer
    x = 11,586.32

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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.