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Finding the Fourth Proportional to 10,931.48, 16,411.04 and 9,104.96

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Solution

The fourth proportional to 10,931.48, 16,411.04 and 9,104.96 is: 13,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.48 : 16,411.04 = 9,104.96 : x
  2. Step 2: Convert to fraction form
    10,931.48/16,411.04 = 9,104.96/x
  3. Step 3: Cross multiply
    10,931.48x = 16,411.04 × 9,104.96
  4. Step 4: Simplify right side
    10,931.48x = 149,421,862.76
  5. Step 5: Solve for x
    x = 149,421,862.76/10,931.48
  6. Step 6: Final answer
    x = 13,668.95

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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.