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Finding the Fourth Proportional to 10,443.36, 14,397.88 and 8,297.02

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Solution

The fourth proportional to 10,443.36, 14,397.88 and 8,297.02 is: 11,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.36 : 14,397.88 = 8,297.02 : x
  2. Step 2: Convert to fraction form
    10,443.36/14,397.88 = 8,297.02/x
  3. Step 3: Cross multiply
    10,443.36x = 14,397.88 × 8,297.02
  4. Step 4: Simplify right side
    10,443.36x = 119,459,498.32
  5. Step 5: Solve for x
    x = 119,459,498.32/10,443.36
  6. Step 6: Final answer
    x = 11,438.80

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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.