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Finding the Fourth Proportional to 10,289.50, 14,184.93 and 7,312.15

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Solution

The fourth proportional to 10,289.50, 14,184.93 and 7,312.15 is: 10,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.50 : 14,184.93 = 7,312.15 : x
  2. Step 2: Convert to fraction form
    10,289.50/14,184.93 = 7,312.15/x
  3. Step 3: Cross multiply
    10,289.50x = 14,184.93 × 7,312.15
  4. Step 4: Simplify right side
    10,289.50x = 103,722,335.90
  5. Step 5: Solve for x
    x = 103,722,335.90/10,289.50
  6. Step 6: Final answer
    x = 10,080.41

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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.