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Finding the Fourth Proportional to 10,782.58, 14,877.71 and 6,305.46

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Solution

The fourth proportional to 10,782.58, 14,877.71 and 6,305.46 is: 8,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.58 : 14,877.71 = 6,305.46 : x
  2. Step 2: Convert to fraction form
    10,782.58/14,877.71 = 6,305.46/x
  3. Step 3: Cross multiply
    10,782.58x = 14,877.71 × 6,305.46
  4. Step 4: Simplify right side
    10,782.58x = 93,810,699.38
  5. Step 5: Solve for x
    x = 93,810,699.38/10,782.58
  6. Step 6: Final answer
    x = 8,700.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.