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Finding the Fourth Proportional to 11,158.88, 15,398.40 and 6,440

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Solution

The fourth proportional to 11,158.88, 15,398.40 and 6,440 is: 8,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.88 : 15,398.40 = 6,440 : x
  2. Step 2: Convert to fraction form
    11,158.88/15,398.40 = 6,440/x
  3. Step 3: Cross multiply
    11,158.88x = 15,398.40 × 6,440
  4. Step 4: Simplify right side
    11,158.88x = 99,165,696
  5. Step 5: Solve for x
    x = 99,165,696/11,158.88
  6. Step 6: Final answer
    x = 8,886.71

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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.