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Finding the Fourth Proportional to 10,349.93, 14,276.85 and 7,514

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Solution

The fourth proportional to 10,349.93, 14,276.85 and 7,514 is: 10,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.93 : 14,276.85 = 7,514 : x
  2. Step 2: Convert to fraction form
    10,349.93/14,276.85 = 7,514/x
  3. Step 3: Cross multiply
    10,349.93x = 14,276.85 × 7,514
  4. Step 4: Simplify right side
    10,349.93x = 107,276,250.90
  5. Step 5: Solve for x
    x = 107,276,250.90/10,349.93
  6. Step 6: Final answer
    x = 10,364.93

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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.