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Finding the Fourth Proportional to 10,334.16, 14,259.06 and 5,856.84

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Solution

The fourth proportional to 10,334.16, 14,259.06 and 5,856.84 is: 8,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.16 : 14,259.06 = 5,856.84 : x
  2. Step 2: Convert to fraction form
    10,334.16/14,259.06 = 5,856.84/x
  3. Step 3: Cross multiply
    10,334.16x = 14,259.06 × 5,856.84
  4. Step 4: Simplify right side
    10,334.16x = 83,513,032.97
  5. Step 5: Solve for x
    x = 83,513,032.97/10,334.16
  6. Step 6: Final answer
    x = 8,081.26

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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.