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Finding the Fourth Proportional to 10,702.18, 14,772.44 and 7,516.25

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Solution

The fourth proportional to 10,702.18, 14,772.44 and 7,516.25 is: 10,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.18 : 14,772.44 = 7,516.25 : x
  2. Step 2: Convert to fraction form
    10,702.18/14,772.44 = 7,516.25/x
  3. Step 3: Cross multiply
    10,702.18x = 14,772.44 × 7,516.25
  4. Step 4: Simplify right side
    10,702.18x = 111,033,352.15
  5. Step 5: Solve for x
    x = 111,033,352.15/10,702.18
  6. Step 6: Final answer
    x = 10,374.84

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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.