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Finding the Fourth Proportional to 10,244.76, 15,368.75 and 3,670.80

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Solution

The fourth proportional to 10,244.76, 15,368.75 and 3,670.80 is: 5,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.76 : 15,368.75 = 3,670.80 : x
  2. Step 2: Convert to fraction form
    10,244.76/15,368.75 = 3,670.80/x
  3. Step 3: Cross multiply
    10,244.76x = 15,368.75 × 3,670.80
  4. Step 4: Simplify right side
    10,244.76x = 56,415,607.50
  5. Step 5: Solve for x
    x = 56,415,607.50/10,244.76
  6. Step 6: Final answer
    x = 5,506.78

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Why These Related Problems?

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