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Finding the Fourth Proportional to 10,410.64, 14,368.32 and 6,635.48

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Solution

The fourth proportional to 10,410.64, 14,368.32 and 6,635.48 is: 9,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.64 : 14,368.32 = 6,635.48 : x
  2. Step 2: Convert to fraction form
    10,410.64/14,368.32 = 6,635.48/x
  3. Step 3: Cross multiply
    10,410.64x = 14,368.32 × 6,635.48
  4. Step 4: Simplify right side
    10,410.64x = 95,340,699.99
  5. Step 5: Solve for x
    x = 95,340,699.99/10,410.64
  6. Step 6: Final answer
    x = 9,158.01

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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.