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Finding the Fourth Proportional to 10,442.79, 14,411.97 and 5,728.05

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Solution

The fourth proportional to 10,442.79, 14,411.97 and 5,728.05 is: 7,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.79 : 14,411.97 = 5,728.05 : x
  2. Step 2: Convert to fraction form
    10,442.79/14,411.97 = 5,728.05/x
  3. Step 3: Cross multiply
    10,442.79x = 14,411.97 × 5,728.05
  4. Step 4: Simplify right side
    10,442.79x = 82,552,484.76
  5. Step 5: Solve for x
    x = 82,552,484.76/10,442.79
  6. Step 6: Final answer
    x = 7,905.21

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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.