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Finding the Fourth Proportional to 10,191.16, 14,072.10 and 8,303.02

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Solution

The fourth proportional to 10,191.16, 14,072.10 and 8,303.02 is: 11,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.16 : 14,072.10 = 8,303.02 : x
  2. Step 2: Convert to fraction form
    10,191.16/14,072.10 = 8,303.02/x
  3. Step 3: Cross multiply
    10,191.16x = 14,072.10 × 8,303.02
  4. Step 4: Simplify right side
    10,191.16x = 116,840,927.74
  5. Step 5: Solve for x
    x = 116,840,927.74/10,191.16
  6. Step 6: Final answer
    x = 11,464.93

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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.