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Finding the Fourth Proportional to 10,635.32, 14,652.17 and 7,645.98

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Solution

The fourth proportional to 10,635.32, 14,652.17 and 7,645.98 is: 10,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.32 : 14,652.17 = 7,645.98 : x
  2. Step 2: Convert to fraction form
    10,635.32/14,652.17 = 7,645.98/x
  3. Step 3: Cross multiply
    10,635.32x = 14,652.17 × 7,645.98
  4. Step 4: Simplify right side
    10,635.32x = 112,030,160.55
  5. Step 5: Solve for x
    x = 112,030,160.55/10,635.32
  6. Step 6: Final answer
    x = 10,533.79

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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.