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Finding the Fourth Proportional to 10,761.40, 14,848.86 and 6,045.88

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Solution

The fourth proportional to 10,761.40, 14,848.86 and 6,045.88 is: 8,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.40 : 14,848.86 = 6,045.88 : x
  2. Step 2: Convert to fraction form
    10,761.40/14,848.86 = 6,045.88/x
  3. Step 3: Cross multiply
    10,761.40x = 14,848.86 × 6,045.88
  4. Step 4: Simplify right side
    10,761.40x = 89,774,425.70
  5. Step 5: Solve for x
    x = 89,774,425.70/10,761.40
  6. Step 6: Final answer
    x = 8,342.26

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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.