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Finding the Fourth Proportional to 10,802.10, 16,246.35 and 9,678.90

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Solution

The fourth proportional to 10,802.10, 16,246.35 and 9,678.90 is: 14,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.10 : 16,246.35 = 9,678.90 : x
  2. Step 2: Convert to fraction form
    10,802.10/16,246.35 = 9,678.90/x
  3. Step 3: Cross multiply
    10,802.10x = 16,246.35 × 9,678.90
  4. Step 4: Simplify right side
    10,802.10x = 157,246,797.02
  5. Step 5: Solve for x
    x = 157,246,797.02/10,802.10
  6. Step 6: Final answer
    x = 14,557.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.