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Finding the Fourth Proportional to 10,697.25, 14,762.21 and 6,506.31

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Solution

The fourth proportional to 10,697.25, 14,762.21 and 6,506.31 is: 8,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.25 : 14,762.21 = 6,506.31 : x
  2. Step 2: Convert to fraction form
    10,697.25/14,762.21 = 6,506.31/x
  3. Step 3: Cross multiply
    10,697.25x = 14,762.21 × 6,506.31
  4. Step 4: Simplify right side
    10,697.25x = 96,047,482.01
  5. Step 5: Solve for x
    x = 96,047,482.01/10,697.25
  6. Step 6: Final answer
    x = 8,978.71

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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.