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Finding the Fourth Proportional to 10,442.83, 14,411.07 and 5,727.10

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Solution

The fourth proportional to 10,442.83, 14,411.07 and 5,727.10 is: 7,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.83 : 14,411.07 = 5,727.10 : x
  2. Step 2: Convert to fraction form
    10,442.83/14,411.07 = 5,727.10/x
  3. Step 3: Cross multiply
    10,442.83x = 14,411.07 × 5,727.10
  4. Step 4: Simplify right side
    10,442.83x = 82,533,602.97
  5. Step 5: Solve for x
    x = 82,533,602.97/10,442.83
  6. Step 6: Final answer
    x = 7,903.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.