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Finding the Fourth Proportional to 10,690.65, 16,035.93 and 2,899.46

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Solution

The fourth proportional to 10,690.65, 16,035.93 and 2,899.46 is: 4,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.65 : 16,035.93 = 2,899.46 : x
  2. Step 2: Convert to fraction form
    10,690.65/16,035.93 = 2,899.46/x
  3. Step 3: Cross multiply
    10,690.65x = 16,035.93 × 2,899.46
  4. Step 4: Simplify right side
    10,690.65x = 46,495,537.60
  5. Step 5: Solve for x
    x = 46,495,537.60/10,690.65
  6. Step 6: Final answer
    x = 4,349.18

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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.