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Finding the Fourth Proportional to 10,455.36, 14,435.28 and 6,482.32

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Solution

The fourth proportional to 10,455.36, 14,435.28 and 6,482.32 is: 8,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.36 : 14,435.28 = 6,482.32 : x
  2. Step 2: Convert to fraction form
    10,455.36/14,435.28 = 6,482.32/x
  3. Step 3: Cross multiply
    10,455.36x = 14,435.28 × 6,482.32
  4. Step 4: Simplify right side
    10,455.36x = 93,574,104.25
  5. Step 5: Solve for x
    x = 93,574,104.25/10,455.36
  6. Step 6: Final answer
    x = 8,949.87

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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.