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Finding the Fourth Proportional to 10,700.18, 14,769.68 and 7,514.25

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Solution

The fourth proportional to 10,700.18, 14,769.68 and 7,514.25 is: 10,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.18 : 14,769.68 = 7,514.25 : x
  2. Step 2: Convert to fraction form
    10,700.18/14,769.68 = 7,514.25/x
  3. Step 3: Cross multiply
    10,700.18x = 14,769.68 × 7,514.25
  4. Step 4: Simplify right side
    10,700.18x = 110,983,089.76
  5. Step 5: Solve for x
    x = 110,983,089.76/10,700.18
  6. Step 6: Final answer
    x = 10,372.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.