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Finding the Fourth Proportional to 10,030.26, 13,835.73 and 7,384.50

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Solution

The fourth proportional to 10,030.26, 13,835.73 and 7,384.50 is: 10,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.26 : 13,835.73 = 7,384.50 : x
  2. Step 2: Convert to fraction form
    10,030.26/13,835.73 = 7,384.50/x
  3. Step 3: Cross multiply
    10,030.26x = 13,835.73 × 7,384.50
  4. Step 4: Simplify right side
    10,030.26x = 102,169,948.19
  5. Step 5: Solve for x
    x = 102,169,948.19/10,030.26
  6. Step 6: Final answer
    x = 10,186.17

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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.