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Finding the Fourth Proportional to 7,762.68, 10,705.50 and 5,109.12

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Solution

The fourth proportional to 7,762.68, 10,705.50 and 5,109.12 is: 7,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.68 : 10,705.50 = 5,109.12 : x
  2. Step 2: Convert to fraction form
    7,762.68/10,705.50 = 5,109.12/x
  3. Step 3: Cross multiply
    7,762.68x = 10,705.50 × 5,109.12
  4. Step 4: Simplify right side
    7,762.68x = 54,695,684.16
  5. Step 5: Solve for x
    x = 54,695,684.16/7,762.68
  6. Step 6: Final answer
    x = 7,045.98

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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.