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Finding the Fourth Proportional to 10,830.88, 14,946.66 and 5,862.88

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Solution

The fourth proportional to 10,830.88, 14,946.66 and 5,862.88 is: 8,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.88 : 14,946.66 = 5,862.88 : x
  2. Step 2: Convert to fraction form
    10,830.88/14,946.66 = 5,862.88/x
  3. Step 3: Cross multiply
    10,830.88x = 14,946.66 × 5,862.88
  4. Step 4: Simplify right side
    10,830.88x = 87,630,369.93
  5. Step 5: Solve for x
    x = 87,630,369.93/10,830.88
  6. Step 6: Final answer
    x = 8,090.79

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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.