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Finding the Fourth Proportional to 10,956.96, 16,430.40 and 4,377.60

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Solution

The fourth proportional to 10,956.96, 16,430.40 and 4,377.60 is: 6,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.96 : 16,430.40 = 4,377.60 : x
  2. Step 2: Convert to fraction form
    10,956.96/16,430.40 = 4,377.60/x
  3. Step 3: Cross multiply
    10,956.96x = 16,430.40 × 4,377.60
  4. Step 4: Simplify right side
    10,956.96x = 71,925,719.04
  5. Step 5: Solve for x
    x = 71,925,719.04/10,956.96
  6. Step 6: Final answer
    x = 6,564.39

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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.