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Finding the Fourth Proportional to 10,141.11, 13,975.35 and 7,303.47

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Solution

The fourth proportional to 10,141.11, 13,975.35 and 7,303.47 is: 10,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.11 : 13,975.35 = 7,303.47 : x
  2. Step 2: Convert to fraction form
    10,141.11/13,975.35 = 7,303.47/x
  3. Step 3: Cross multiply
    10,141.11x = 13,975.35 × 7,303.47
  4. Step 4: Simplify right side
    10,141.11x = 102,068,549.46
  5. Step 5: Solve for x
    x = 102,068,549.46/10,141.11
  6. Step 6: Final answer
    x = 10,064.83

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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.