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Finding the Fourth Proportional to 10,275.26, 15,334.18 and 9,168

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Solution

The fourth proportional to 10,275.26, 15,334.18 and 9,168 is: 13,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.26 : 15,334.18 = 9,168 : x
  2. Step 2: Convert to fraction form
    10,275.26/15,334.18 = 9,168/x
  3. Step 3: Cross multiply
    10,275.26x = 15,334.18 × 9,168
  4. Step 4: Simplify right side
    10,275.26x = 140,583,762.24
  5. Step 5: Solve for x
    x = 140,583,762.24/10,275.26
  6. Step 6: Final answer
    x = 13,681.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.