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Finding the Fourth Proportional to 7,386.90, 10,184.18 and 5,687.31

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Solution

The fourth proportional to 7,386.90, 10,184.18 and 5,687.31 is: 7,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.90 : 10,184.18 = 5,687.31 : x
  2. Step 2: Convert to fraction form
    7,386.90/10,184.18 = 5,687.31/x
  3. Step 3: Cross multiply
    7,386.90x = 10,184.18 × 5,687.31
  4. Step 4: Simplify right side
    7,386.90x = 57,920,630.50
  5. Step 5: Solve for x
    x = 57,920,630.50/7,386.90
  6. Step 6: Final answer
    x = 7,841.00

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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.