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Finding the Fourth Proportional to 10,721.81, 14,780.52 and 7,525.13

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Solution

The fourth proportional to 10,721.81, 14,780.52 and 7,525.13 is: 10,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.81 : 14,780.52 = 7,525.13 : x
  2. Step 2: Convert to fraction form
    10,721.81/14,780.52 = 7,525.13/x
  3. Step 3: Cross multiply
    10,721.81x = 14,780.52 × 7,525.13
  4. Step 4: Simplify right side
    10,721.81x = 111,225,334.47
  5. Step 5: Solve for x
    x = 111,225,334.47/10,721.81
  6. Step 6: Final answer
    x = 10,373.75

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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.