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Finding the Fourth Proportional to 11,113.60, 16,655.84 and 4,532

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Solution

The fourth proportional to 11,113.60, 16,655.84 and 4,532 is: 6,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,113.60 : 16,655.84 = 4,532 : x
  2. Step 2: Convert to fraction form
    11,113.60/16,655.84 = 4,532/x
  3. Step 3: Cross multiply
    11,113.60x = 16,655.84 × 4,532
  4. Step 4: Simplify right side
    11,113.60x = 75,484,266.88
  5. Step 5: Solve for x
    x = 75,484,266.88/11,113.60
  6. Step 6: Final answer
    x = 6,792.06

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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.