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Finding the Fourth Proportional to 10,898.71, 16,348.65 and 3,502.60

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Solution

The fourth proportional to 10,898.71, 16,348.65 and 3,502.60 is: 5,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.71 : 16,348.65 = 3,502.60 : x
  2. Step 2: Convert to fraction form
    10,898.71/16,348.65 = 3,502.60/x
  3. Step 3: Cross multiply
    10,898.71x = 16,348.65 × 3,502.60
  4. Step 4: Simplify right side
    10,898.71x = 57,262,682.23
  5. Step 5: Solve for x
    x = 57,262,682.23/10,898.71
  6. Step 6: Final answer
    x = 5,254.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.