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Finding the Fourth Proportional to 7,764.60, 10,709.36 and 4,929.51

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Solution

The fourth proportional to 7,764.60, 10,709.36 and 4,929.51 is: 6,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.60 : 10,709.36 = 4,929.51 : x
  2. Step 2: Convert to fraction form
    7,764.60/10,709.36 = 4,929.51/x
  3. Step 3: Cross multiply
    7,764.60x = 10,709.36 × 4,929.51
  4. Step 4: Simplify right side
    7,764.60x = 52,791,897.21
  5. Step 5: Solve for x
    x = 52,791,897.21/7,764.60
  6. Step 6: Final answer
    x = 6,799.05

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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.