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Finding the Fourth Proportional to 10,367.86, 14,307.78 and 5,652.13

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Solution

The fourth proportional to 10,367.86, 14,307.78 and 5,652.13 is: 7,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.86 : 14,307.78 = 5,652.13 : x
  2. Step 2: Convert to fraction form
    10,367.86/14,307.78 = 5,652.13/x
  3. Step 3: Cross multiply
    10,367.86x = 14,307.78 × 5,652.13
  4. Step 4: Simplify right side
    10,367.86x = 80,869,432.57
  5. Step 5: Solve for x
    x = 80,869,432.57/10,367.86
  6. Step 6: Final answer
    x = 7,800.01

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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.