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Finding the Fourth Proportional to 10,297.32, 14,208.98 and 6,710.64

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Solution

The fourth proportional to 10,297.32, 14,208.98 and 6,710.64 is: 9,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.32 : 14,208.98 = 6,710.64 : x
  2. Step 2: Convert to fraction form
    10,297.32/14,208.98 = 6,710.64/x
  3. Step 3: Cross multiply
    10,297.32x = 14,208.98 × 6,710.64
  4. Step 4: Simplify right side
    10,297.32x = 95,351,278.50
  5. Step 5: Solve for x
    x = 95,351,278.50/10,297.32
  6. Step 6: Final answer
    x = 9,259.82

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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.