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Finding the Fourth Proportional to 10,505.79, 14,500.44 and 6,529.89

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Solution

The fourth proportional to 10,505.79, 14,500.44 and 6,529.89 is: 9,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.79 : 14,500.44 = 6,529.89 : x
  2. Step 2: Convert to fraction form
    10,505.79/14,500.44 = 6,529.89/x
  3. Step 3: Cross multiply
    10,505.79x = 14,500.44 × 6,529.89
  4. Step 4: Simplify right side
    10,505.79x = 94,686,278.15
  5. Step 5: Solve for x
    x = 94,686,278.15/10,505.79
  6. Step 6: Final answer
    x = 9,012.77

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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.