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Finding the Fourth Proportional to 10,620.16, 14,653.44 and 6,428.32

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Solution

The fourth proportional to 10,620.16, 14,653.44 and 6,428.32 is: 8,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.16 : 14,653.44 = 6,428.32 : x
  2. Step 2: Convert to fraction form
    10,620.16/14,653.44 = 6,428.32/x
  3. Step 3: Cross multiply
    10,620.16x = 14,653.44 × 6,428.32
  4. Step 4: Simplify right side
    10,620.16x = 94,197,001.42
  5. Step 5: Solve for x
    x = 94,197,001.42/10,620.16
  6. Step 6: Final answer
    x = 8,869.64

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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.