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Finding the Fourth Proportional to 7,726.24, 10,661.52 and 4,582

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Solution

The fourth proportional to 7,726.24, 10,661.52 and 4,582 is: 6,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.24 : 10,661.52 = 4,582 : x
  2. Step 2: Convert to fraction form
    7,726.24/10,661.52 = 4,582/x
  3. Step 3: Cross multiply
    7,726.24x = 10,661.52 × 4,582
  4. Step 4: Simplify right side
    7,726.24x = 48,851,084.64
  5. Step 5: Solve for x
    x = 48,851,084.64/7,726.24
  6. Step 6: Final answer
    x = 6,322.75

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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.