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Finding the Fourth Proportional to 7,695.49, 10,619 and 4,712.17

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Solution

The fourth proportional to 7,695.49, 10,619 and 4,712.17 is: 6,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.49 : 10,619 = 4,712.17 : x
  2. Step 2: Convert to fraction form
    7,695.49/10,619 = 4,712.17/x
  3. Step 3: Cross multiply
    7,695.49x = 10,619 × 4,712.17
  4. Step 4: Simplify right side
    7,695.49x = 50,038,480.14
  5. Step 5: Solve for x
    x = 50,038,480.14/7,695.49
  6. Step 6: Final answer
    x = 6,502.32

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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.