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Finding the Fourth Proportional to 10,782.10, 14,878.24 and 6,066.28

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Solution

The fourth proportional to 10,782.10, 14,878.24 and 6,066.28 is: 8,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.10 : 14,878.24 = 6,066.28 : x
  2. Step 2: Convert to fraction form
    10,782.10/14,878.24 = 6,066.28/x
  3. Step 3: Cross multiply
    10,782.10x = 14,878.24 × 6,066.28
  4. Step 4: Simplify right side
    10,782.10x = 90,255,569.75
  5. Step 5: Solve for x
    x = 90,255,569.75/10,782.10
  6. Step 6: Final answer
    x = 8,370.87

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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.