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Finding the Fourth Proportional to 10,677.60, 15,994.80 and 7,178.40

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Solution

The fourth proportional to 10,677.60, 15,994.80 and 7,178.40 is: 10,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.60 : 15,994.80 = 7,178.40 : x
  2. Step 2: Convert to fraction form
    10,677.60/15,994.80 = 7,178.40/x
  3. Step 3: Cross multiply
    10,677.60x = 15,994.80 × 7,178.40
  4. Step 4: Simplify right side
    10,677.60x = 114,817,072.32
  5. Step 5: Solve for x
    x = 114,817,072.32/10,677.60
  6. Step 6: Final answer
    x = 10,753.08

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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.