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Finding the Fourth Proportional to 11,547.18, 15,935.22 and 6,830.46

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Solution

The fourth proportional to 11,547.18, 15,935.22 and 6,830.46 is: 9,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.18 : 15,935.22 = 6,830.46 : x
  2. Step 2: Convert to fraction form
    11,547.18/15,935.22 = 6,830.46/x
  3. Step 3: Cross multiply
    11,547.18x = 15,935.22 × 6,830.46
  4. Step 4: Simplify right side
    11,547.18x = 108,844,882.80
  5. Step 5: Solve for x
    x = 108,844,882.80/11,547.18
  6. Step 6: Final answer
    x = 9,426.10

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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.