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Finding the Fourth Proportional to 10,497.42, 14,487.47 and 7,840.22

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Solution

The fourth proportional to 10,497.42, 14,487.47 and 7,840.22 is: 10,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.42 : 14,487.47 = 7,840.22 : x
  2. Step 2: Convert to fraction form
    10,497.42/14,487.47 = 7,840.22/x
  3. Step 3: Cross multiply
    10,497.42x = 14,487.47 × 7,840.22
  4. Step 4: Simplify right side
    10,497.42x = 113,584,952.04
  5. Step 5: Solve for x
    x = 113,584,952.04/10,497.42
  6. Step 6: Final answer
    x = 10,820.27

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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.