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Finding the Fourth Proportional to 10,830.72, 14,941.86 and 7,287.78

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Solution

The fourth proportional to 10,830.72, 14,941.86 and 7,287.78 is: 10,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.72 : 14,941.86 = 7,287.78 : x
  2. Step 2: Convert to fraction form
    10,830.72/14,941.86 = 7,287.78/x
  3. Step 3: Cross multiply
    10,830.72x = 14,941.86 × 7,287.78
  4. Step 4: Simplify right side
    10,830.72x = 108,892,988.47
  5. Step 5: Solve for x
    x = 108,892,988.47/10,830.72
  6. Step 6: Final answer
    x = 10,054.09

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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.