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Finding the Fourth Proportional to 10,657.16, 14,698.02 and 7,999.95

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Solution

The fourth proportional to 10,657.16, 14,698.02 and 7,999.95 is: 11,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.16 : 14,698.02 = 7,999.95 : x
  2. Step 2: Convert to fraction form
    10,657.16/14,698.02 = 7,999.95/x
  3. Step 3: Cross multiply
    10,657.16x = 14,698.02 × 7,999.95
  4. Step 4: Simplify right side
    10,657.16x = 117,583,425.10
  5. Step 5: Solve for x
    x = 117,583,425.10/10,657.16
  6. Step 6: Final answer
    x = 11,033.28

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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.