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Finding the Fourth Proportional to 10,467.37, 14,432.76 and 7,810.16

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Solution

The fourth proportional to 10,467.37, 14,432.76 and 7,810.16 is: 10,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.37 : 14,432.76 = 7,810.16 : x
  2. Step 2: Convert to fraction form
    10,467.37/14,432.76 = 7,810.16/x
  3. Step 3: Cross multiply
    10,467.37x = 14,432.76 × 7,810.16
  4. Step 4: Simplify right side
    10,467.37x = 112,722,200.92
  5. Step 5: Solve for x
    x = 112,722,200.92/10,467.37
  6. Step 6: Final answer
    x = 10,768.92

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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.