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Finding the Fourth Proportional to 10,586.54, 15,878.46 and 3,565.46

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Solution

The fourth proportional to 10,586.54, 15,878.46 and 3,565.46 is: 5,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.54 : 15,878.46 = 3,565.46 : x
  2. Step 2: Convert to fraction form
    10,586.54/15,878.46 = 3,565.46/x
  3. Step 3: Cross multiply
    10,586.54x = 15,878.46 × 3,565.46
  4. Step 4: Simplify right side
    10,586.54x = 56,614,013.99
  5. Step 5: Solve for x
    x = 56,614,013.99/10,586.54
  6. Step 6: Final answer
    x = 5,347.74

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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.