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Finding the Fourth Proportional to 10,192.64, 14,056.64 and 6,603.96

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Solution

The fourth proportional to 10,192.64, 14,056.64 and 6,603.96 is: 9,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.64 : 14,056.64 = 6,603.96 : x
  2. Step 2: Convert to fraction form
    10,192.64/14,056.64 = 6,603.96/x
  3. Step 3: Cross multiply
    10,192.64x = 14,056.64 × 6,603.96
  4. Step 4: Simplify right side
    10,192.64x = 92,829,488.29
  5. Step 5: Solve for x
    x = 92,829,488.29/10,192.64
  6. Step 6: Final answer
    x = 9,107.50

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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.