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Finding the Fourth Proportional to 7,763.88, 10,726.68 and 5,416.50

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Solution

The fourth proportional to 7,763.88, 10,726.68 and 5,416.50 is: 7,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.88 : 10,726.68 = 5,416.50 : x
  2. Step 2: Convert to fraction form
    7,763.88/10,726.68 = 5,416.50/x
  3. Step 3: Cross multiply
    7,763.88x = 10,726.68 × 5,416.50
  4. Step 4: Simplify right side
    7,763.88x = 58,101,062.22
  5. Step 5: Solve for x
    x = 58,101,062.22/7,763.88
  6. Step 6: Final answer
    x = 7,483.51

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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.