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Finding the Fourth Proportional to 10,950.16, 15,113.64 and 6,702.16

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Solution

The fourth proportional to 10,950.16, 15,113.64 and 6,702.16 is: 9,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.16 : 15,113.64 = 6,702.16 : x
  2. Step 2: Convert to fraction form
    10,950.16/15,113.64 = 6,702.16/x
  3. Step 3: Cross multiply
    10,950.16x = 15,113.64 × 6,702.16
  4. Step 4: Simplify right side
    10,950.16x = 101,294,033.46
  5. Step 5: Solve for x
    x = 101,294,033.46/10,950.16
  6. Step 6: Final answer
    x = 9,250.46

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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.