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Finding the Fourth Proportional to 10,272.88, 15,407.64 and 4,726

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Solution

The fourth proportional to 10,272.88, 15,407.64 and 4,726 is: 7,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.88 : 15,407.64 = 4,726 : x
  2. Step 2: Convert to fraction form
    10,272.88/15,407.64 = 4,726/x
  3. Step 3: Cross multiply
    10,272.88x = 15,407.64 × 4,726
  4. Step 4: Simplify right side
    10,272.88x = 72,816,506.64
  5. Step 5: Solve for x
    x = 72,816,506.64/10,272.88
  6. Step 6: Final answer
    x = 7,088.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.