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Finding the Fourth Proportional to 10,782.16, 14,877.78 and 6,065.52

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Solution

The fourth proportional to 10,782.16, 14,877.78 and 6,065.52 is: 8,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.16 : 14,877.78 = 6,065.52 : x
  2. Step 2: Convert to fraction form
    10,782.16/14,877.78 = 6,065.52/x
  3. Step 3: Cross multiply
    10,782.16x = 14,877.78 × 6,065.52
  4. Step 4: Simplify right side
    10,782.16x = 90,241,472.15
  5. Step 5: Solve for x
    x = 90,241,472.15/10,782.16
  6. Step 6: Final answer
    x = 8,369.52

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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.