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Finding the Fourth Proportional to 7,752.17, 11,614.39 and 4,971.98

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Solution

The fourth proportional to 7,752.17, 11,614.39 and 4,971.98 is: 7,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.17 : 11,614.39 = 4,971.98 : x
  2. Step 2: Convert to fraction form
    7,752.17/11,614.39 = 4,971.98/x
  3. Step 3: Cross multiply
    7,752.17x = 11,614.39 × 4,971.98
  4. Step 4: Simplify right side
    7,752.17x = 57,746,531.40
  5. Step 5: Solve for x
    x = 57,746,531.40/7,752.17
  6. Step 6: Final answer
    x = 7,449.08

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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.