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Finding the Fourth Proportional to 10,864.40, 14,994.39 and 7,849.28

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Solution

The fourth proportional to 10,864.40, 14,994.39 and 7,849.28 is: 10,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.40 : 14,994.39 = 7,849.28 : x
  2. Step 2: Convert to fraction form
    10,864.40/14,994.39 = 7,849.28/x
  3. Step 3: Cross multiply
    10,864.40x = 14,994.39 × 7,849.28
  4. Step 4: Simplify right side
    10,864.40x = 117,695,051.32
  5. Step 5: Solve for x
    x = 117,695,051.32/10,864.40
  6. Step 6: Final answer
    x = 10,833.10

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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.