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Finding the Fourth Proportional to 11,330.53, 15,633.58 and 6,854.17

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Solution

The fourth proportional to 11,330.53, 15,633.58 and 6,854.17 is: 9,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.53 : 15,633.58 = 6,854.17 : x
  2. Step 2: Convert to fraction form
    11,330.53/15,633.58 = 6,854.17/x
  3. Step 3: Cross multiply
    11,330.53x = 15,633.58 × 6,854.17
  4. Step 4: Simplify right side
    11,330.53x = 107,155,215.03
  5. Step 5: Solve for x
    x = 107,155,215.03/11,330.53
  6. Step 6: Final answer
    x = 9,457.21

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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.