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Finding the Fourth Proportional to 11,543.84, 17,318.46 and 4,970.69

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Solution

The fourth proportional to 11,543.84, 17,318.46 and 4,970.69 is: 7,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.84 : 17,318.46 = 4,970.69 : x
  2. Step 2: Convert to fraction form
    11,543.84/17,318.46 = 4,970.69/x
  3. Step 3: Cross multiply
    11,543.84x = 17,318.46 × 4,970.69
  4. Step 4: Simplify right side
    11,543.84x = 86,084,695.94
  5. Step 5: Solve for x
    x = 86,084,695.94/11,543.84
  6. Step 6: Final answer
    x = 7,457.20

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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.