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Finding the Fourth Proportional to 10,760.18, 14,848.93 and 6,284.63

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Solution

The fourth proportional to 10,760.18, 14,848.93 and 6,284.63 is: 8,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.18 : 14,848.93 = 6,284.63 : x
  2. Step 2: Convert to fraction form
    10,760.18/14,848.93 = 6,284.63/x
  3. Step 3: Cross multiply
    10,760.18x = 14,848.93 × 6,284.63
  4. Step 4: Simplify right side
    10,760.18x = 93,320,030.95
  5. Step 5: Solve for x
    x = 93,320,030.95/10,760.18
  6. Step 6: Final answer
    x = 8,672.72

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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.