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Finding the Fourth Proportional to 10,432.59, 15,639.34 and 4,505.77

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Solution

The fourth proportional to 10,432.59, 15,639.34 and 4,505.77 is: 6,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.59 : 15,639.34 = 4,505.77 : x
  2. Step 2: Convert to fraction form
    10,432.59/15,639.34 = 4,505.77/x
  3. Step 3: Cross multiply
    10,432.59x = 15,639.34 × 4,505.77
  4. Step 4: Simplify right side
    10,432.59x = 70,467,218.63
  5. Step 5: Solve for x
    x = 70,467,218.63/10,432.59
  6. Step 6: Final answer
    x = 6,754.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.