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Finding the Fourth Proportional to 7,803.60, 10,765.96 and 4,814.26

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Solution

The fourth proportional to 7,803.60, 10,765.96 and 4,814.26 is: 6,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.60 : 10,765.96 = 4,814.26 : x
  2. Step 2: Convert to fraction form
    7,803.60/10,765.96 = 4,814.26/x
  3. Step 3: Cross multiply
    7,803.60x = 10,765.96 × 4,814.26
  4. Step 4: Simplify right side
    7,803.60x = 51,830,130.59
  5. Step 5: Solve for x
    x = 51,830,130.59/7,803.60
  6. Step 6: Final answer
    x = 6,641.82

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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.