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Finding the Fourth Proportional to 10,672.16, 14,724.24 and 6,897.40

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Solution

The fourth proportional to 10,672.16, 14,724.24 and 6,897.40 is: 9,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.16 : 14,724.24 = 6,897.40 : x
  2. Step 2: Convert to fraction form
    10,672.16/14,724.24 = 6,897.40/x
  3. Step 3: Cross multiply
    10,672.16x = 14,724.24 × 6,897.40
  4. Step 4: Simplify right side
    10,672.16x = 101,558,972.98
  5. Step 5: Solve for x
    x = 101,558,972.98/10,672.16
  6. Step 6: Final answer
    x = 9,516.25

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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.