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Finding the Fourth Proportional to 10,295.79, 14,208.21 and 5,580.06

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Solution

The fourth proportional to 10,295.79, 14,208.21 and 5,580.06 is: 7,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.79 : 14,208.21 = 5,580.06 : x
  2. Step 2: Convert to fraction form
    10,295.79/14,208.21 = 5,580.06/x
  3. Step 3: Cross multiply
    10,295.79x = 14,208.21 × 5,580.06
  4. Step 4: Simplify right side
    10,295.79x = 79,282,664.29
  5. Step 5: Solve for x
    x = 79,282,664.29/10,295.79
  6. Step 6: Final answer
    x = 7,700.49

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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.