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Finding the Fourth Proportional to 10,595.40, 15,860.70 and 6,199.80

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Solution

The fourth proportional to 10,595.40, 15,860.70 and 6,199.80 is: 9,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.40 : 15,860.70 = 6,199.80 : x
  2. Step 2: Convert to fraction form
    10,595.40/15,860.70 = 6,199.80/x
  3. Step 3: Cross multiply
    10,595.40x = 15,860.70 × 6,199.80
  4. Step 4: Simplify right side
    10,595.40x = 98,333,167.86
  5. Step 5: Solve for x
    x = 98,333,167.86/10,595.40
  6. Step 6: Final answer
    x = 9,280.74

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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.