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Finding the Fourth Proportional to 10,442.63, 14,411.59 and 5,966.28

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Solution

The fourth proportional to 10,442.63, 14,411.59 and 5,966.28 is: 8,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.63 : 14,411.59 = 5,966.28 : x
  2. Step 2: Convert to fraction form
    10,442.63/14,411.59 = 5,966.28/x
  3. Step 3: Cross multiply
    10,442.63x = 14,411.59 × 5,966.28
  4. Step 4: Simplify right side
    10,442.63x = 85,983,668.66
  5. Step 5: Solve for x
    x = 85,983,668.66/10,442.63
  6. Step 6: Final answer
    x = 8,233.91

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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.