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Finding the Fourth Proportional to 10,415.65, 14,358.63 and 7,426.30

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Solution

The fourth proportional to 10,415.65, 14,358.63 and 7,426.30 is: 10,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.65 : 14,358.63 = 7,426.30 : x
  2. Step 2: Convert to fraction form
    10,415.65/14,358.63 = 7,426.30/x
  3. Step 3: Cross multiply
    10,415.65x = 14,358.63 × 7,426.30
  4. Step 4: Simplify right side
    10,415.65x = 106,631,422.18
  5. Step 5: Solve for x
    x = 106,631,422.18/10,415.65
  6. Step 6: Final answer
    x = 10,237.62

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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.