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Finding the Fourth Proportional to 11,373.84, 15,695.76 and 6,338.07

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Solution

The fourth proportional to 11,373.84, 15,695.76 and 6,338.07 is: 8,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,373.84 : 15,695.76 = 6,338.07 : x
  2. Step 2: Convert to fraction form
    11,373.84/15,695.76 = 6,338.07/x
  3. Step 3: Cross multiply
    11,373.84x = 15,695.76 × 6,338.07
  4. Step 4: Simplify right side
    11,373.84x = 99,480,825.58
  5. Step 5: Solve for x
    x = 99,480,825.58/11,373.84
  6. Step 6: Final answer
    x = 8,746.46

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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.