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Finding the Fourth Proportional to 7,779.66, 10,735.83 and 4,242.80

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Solution

The fourth proportional to 7,779.66, 10,735.83 and 4,242.80 is: 5,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.66 : 10,735.83 = 4,242.80 : x
  2. Step 2: Convert to fraction form
    7,779.66/10,735.83 = 4,242.80/x
  3. Step 3: Cross multiply
    7,779.66x = 10,735.83 × 4,242.80
  4. Step 4: Simplify right side
    7,779.66x = 45,549,925.84
  5. Step 5: Solve for x
    x = 45,549,925.84/7,779.66
  6. Step 6: Final answer
    x = 5,855.00

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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.