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Finding the Fourth Proportional to 10,782.93, 14,878.85 and 6,066.93

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Solution

The fourth proportional to 10,782.93, 14,878.85 and 6,066.93 is: 8,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.93 : 14,878.85 = 6,066.93 : x
  2. Step 2: Convert to fraction form
    10,782.93/14,878.85 = 6,066.93/x
  3. Step 3: Cross multiply
    10,782.93x = 14,878.85 × 6,066.93
  4. Step 4: Simplify right side
    10,782.93x = 90,268,911.10
  5. Step 5: Solve for x
    x = 90,268,911.10/10,782.93
  6. Step 6: Final answer
    x = 8,371.46

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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.