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Finding the Fourth Proportional to 10,442.56, 14,411.40 and 6,899.56

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Solution

The fourth proportional to 10,442.56, 14,411.40 and 6,899.56 is: 9,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.56 : 14,411.40 = 6,899.56 : x
  2. Step 2: Convert to fraction form
    10,442.56/14,411.40 = 6,899.56/x
  3. Step 3: Cross multiply
    10,442.56x = 14,411.40 × 6,899.56
  4. Step 4: Simplify right side
    10,442.56x = 99,432,318.98
  5. Step 5: Solve for x
    x = 99,432,318.98/10,442.56
  6. Step 6: Final answer
    x = 9,521.83

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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.