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Finding the Fourth Proportional to 10,735.55, 14,808.23 and 7,755.76

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Solution

The fourth proportional to 10,735.55, 14,808.23 and 7,755.76 is: 10,698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.55 : 14,808.23 = 7,755.76 : x
  2. Step 2: Convert to fraction form
    10,735.55/14,808.23 = 7,755.76/x
  3. Step 3: Cross multiply
    10,735.55x = 14,808.23 × 7,755.76
  4. Step 4: Simplify right side
    10,735.55x = 114,849,003.86
  5. Step 5: Solve for x
    x = 114,849,003.86/10,735.55
  6. Step 6: Final answer
    x = 10,698.01

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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.