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Finding the Fourth Proportional to 10,398.56, 14,312.64 and 8,701.36

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Solution

The fourth proportional to 10,398.56, 14,312.64 and 8,701.36 is: 11,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.56 : 14,312.64 = 8,701.36 : x
  2. Step 2: Convert to fraction form
    10,398.56/14,312.64 = 8,701.36/x
  3. Step 3: Cross multiply
    10,398.56x = 14,312.64 × 8,701.36
  4. Step 4: Simplify right side
    10,398.56x = 124,539,433.19
  5. Step 5: Solve for x
    x = 124,539,433.19/10,398.56
  6. Step 6: Final answer
    x = 11,976.60

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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.