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Finding the Fourth Proportional to 7,297.31, 10,070.30 and 4,153.50

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Solution

The fourth proportional to 7,297.31, 10,070.30 and 4,153.50 is: 5,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.31 : 10,070.30 = 4,153.50 : x
  2. Step 2: Convert to fraction form
    7,297.31/10,070.30 = 4,153.50/x
  3. Step 3: Cross multiply
    7,297.31x = 10,070.30 × 4,153.50
  4. Step 4: Simplify right side
    7,297.31x = 41,827,001.43
  5. Step 5: Solve for x
    x = 41,827,001.43/7,297.31
  6. Step 6: Final answer
    x = 5,731.84

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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.