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Finding the Fourth Proportional to 10,758.33, 14,842.98 and 6,281.46

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Solution

The fourth proportional to 10,758.33, 14,842.98 and 6,281.46 is: 8,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.33 : 14,842.98 = 6,281.46 : x
  2. Step 2: Convert to fraction form
    10,758.33/14,842.98 = 6,281.46/x
  3. Step 3: Cross multiply
    10,758.33x = 14,842.98 × 6,281.46
  4. Step 4: Simplify right side
    10,758.33x = 93,235,585.15
  5. Step 5: Solve for x
    x = 93,235,585.15/10,758.33
  6. Step 6: Final answer
    x = 8,666.36

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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.