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Finding the Fourth Proportional to 10,830.89, 14,946.63 and 5,862.89

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Solution

The fourth proportional to 10,830.89, 14,946.63 and 5,862.89 is: 8,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.89 : 14,946.63 = 5,862.89 : x
  2. Step 2: Convert to fraction form
    10,830.89/14,946.63 = 5,862.89/x
  3. Step 3: Cross multiply
    10,830.89x = 14,946.63 × 5,862.89
  4. Step 4: Simplify right side
    10,830.89x = 87,630,372.83
  5. Step 5: Solve for x
    x = 87,630,372.83/10,830.89
  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.