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Finding the Fourth Proportional to 10,191.30, 14,066.91 and 6,001.98

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Solution

The fourth proportional to 10,191.30, 14,066.91 and 6,001.98 is: 8,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.30 : 14,066.91 = 6,001.98 : x
  2. Step 2: Convert to fraction form
    10,191.30/14,066.91 = 6,001.98/x
  3. Step 3: Cross multiply
    10,191.30x = 14,066.91 × 6,001.98
  4. Step 4: Simplify right side
    10,191.30x = 84,429,312.48
  5. Step 5: Solve for x
    x = 84,429,312.48/10,191.30
  6. Step 6: Final answer
    x = 8,284.45

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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.