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Finding the Fourth Proportional to 10,931.34, 16,397 and 4,687.32

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Solution

The fourth proportional to 10,931.34, 16,397 and 4,687.32 is: 7,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.34 : 16,397 = 4,687.32 : x
  2. Step 2: Convert to fraction form
    10,931.34/16,397 = 4,687.32/x
  3. Step 3: Cross multiply
    10,931.34x = 16,397 × 4,687.32
  4. Step 4: Simplify right side
    10,931.34x = 76,857,986.04
  5. Step 5: Solve for x
    x = 76,857,986.04/10,931.34
  6. Step 6: Final answer
    x = 7,030.98

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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.