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Finding the Fourth Proportional to 10,252.56, 15,368.76 and 3,677.52

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Solution

The fourth proportional to 10,252.56, 15,368.76 and 3,677.52 is: 5,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.56 : 15,368.76 = 3,677.52 : x
  2. Step 2: Convert to fraction form
    10,252.56/15,368.76 = 3,677.52/x
  3. Step 3: Cross multiply
    10,252.56x = 15,368.76 × 3,677.52
  4. Step 4: Simplify right side
    10,252.56x = 56,518,922.28
  5. Step 5: Solve for x
    x = 56,518,922.28/10,252.56
  6. Step 6: Final answer
    x = 5,512.66

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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.