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Finding the Fourth Proportional to 6,695.36, 10,042.88 and 2,312.40

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Solution

The fourth proportional to 6,695.36, 10,042.88 and 2,312.40 is: 3,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.36 : 10,042.88 = 2,312.40 : x
  2. Step 2: Convert to fraction form
    6,695.36/10,042.88 = 2,312.40/x
  3. Step 3: Cross multiply
    6,695.36x = 10,042.88 × 2,312.40
  4. Step 4: Simplify right side
    6,695.36x = 23,223,144.15
  5. Step 5: Solve for x
    x = 23,223,144.15/6,695.36
  6. Step 6: Final answer
    x = 3,468.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.