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Finding the Fourth Proportional to 10,931.60, 16,395.64 and 3,138.64

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Solution

The fourth proportional to 10,931.60, 16,395.64 and 3,138.64 is: 4,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.60 : 16,395.64 = 3,138.64 : x
  2. Step 2: Convert to fraction form
    10,931.60/16,395.64 = 3,138.64/x
  3. Step 3: Cross multiply
    10,931.60x = 16,395.64 × 3,138.64
  4. Step 4: Simplify right side
    10,931.60x = 51,460,011.53
  5. Step 5: Solve for x
    x = 51,460,011.53/10,931.60
  6. Step 6: Final answer
    x = 4,707.45

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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.