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Finding the Fourth Proportional to 10,686.71, 16,031.58 and 3,291.77

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Solution

The fourth proportional to 10,686.71, 16,031.58 and 3,291.77 is: 4,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.71 : 16,031.58 = 3,291.77 : x
  2. Step 2: Convert to fraction form
    10,686.71/16,031.58 = 3,291.77/x
  3. Step 3: Cross multiply
    10,686.71x = 16,031.58 × 3,291.77
  4. Step 4: Simplify right side
    10,686.71x = 52,772,274.10
  5. Step 5: Solve for x
    x = 52,772,274.10/10,686.71
  6. Step 6: Final answer
    x = 4,938.12

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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.