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Finding the Fourth Proportional to 11,540.02, 15,926.34 and 7,348

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Solution

The fourth proportional to 11,540.02, 15,926.34 and 7,348 is: 10,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.02 : 15,926.34 = 7,348 : x
  2. Step 2: Convert to fraction form
    11,540.02/15,926.34 = 7,348/x
  3. Step 3: Cross multiply
    11,540.02x = 15,926.34 × 7,348
  4. Step 4: Simplify right side
    11,540.02x = 117,026,746.32
  5. Step 5: Solve for x
    x = 117,026,746.32/11,540.02
  6. Step 6: Final answer
    x = 10,140.95

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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.