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Finding the Fourth Proportional to 10,057.64, 13,884.95 and 6,875.62

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Solution

The fourth proportional to 10,057.64, 13,884.95 and 6,875.62 is: 9,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.64 : 13,884.95 = 6,875.62 : x
  2. Step 2: Convert to fraction form
    10,057.64/13,884.95 = 6,875.62/x
  3. Step 3: Cross multiply
    10,057.64x = 13,884.95 × 6,875.62
  4. Step 4: Simplify right side
    10,057.64x = 95,467,622.40
  5. Step 5: Solve for x
    x = 95,467,622.40/10,057.64
  6. Step 6: Final answer
    x = 9,492.05

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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.