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Finding the Fourth Proportional to 10,668.51, 16,000.94 and 2,875.50

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Solution

The fourth proportional to 10,668.51, 16,000.94 and 2,875.50 is: 4,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.51 : 16,000.94 = 2,875.50 : x
  2. Step 2: Convert to fraction form
    10,668.51/16,000.94 = 2,875.50/x
  3. Step 3: Cross multiply
    10,668.51x = 16,000.94 × 2,875.50
  4. Step 4: Simplify right side
    10,668.51x = 46,010,710.16
  5. Step 5: Solve for x
    x = 46,010,710.16/10,668.51
  6. Step 6: Final answer
    x = 4,312.76

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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.