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Finding the Fourth Proportional to 10,501.64, 14,492.14 and 6,025.49

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Solution

The fourth proportional to 10,501.64, 14,492.14 and 6,025.49 is: 8,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.64 : 14,492.14 = 6,025.49 : x
  2. Step 2: Convert to fraction form
    10,501.64/14,492.14 = 6,025.49/x
  3. Step 3: Cross multiply
    10,501.64x = 14,492.14 × 6,025.49
  4. Step 4: Simplify right side
    10,501.64x = 87,322,157.12
  5. Step 5: Solve for x
    x = 87,322,157.12/10,501.64
  6. Step 6: Final answer
    x = 8,315.10

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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.