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Finding the Fourth Proportional to 10,008.47, 13,812.86 and 8,326.91

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Solution

The fourth proportional to 10,008.47, 13,812.86 and 8,326.91 is: 11,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.47 : 13,812.86 = 8,326.91 : x
  2. Step 2: Convert to fraction form
    10,008.47/13,812.86 = 8,326.91/x
  3. Step 3: Cross multiply
    10,008.47x = 13,812.86 × 8,326.91
  4. Step 4: Simplify right side
    10,008.47x = 115,018,442.06
  5. Step 5: Solve for x
    x = 115,018,442.06/10,008.47
  6. Step 6: Final answer
    x = 11,492.11

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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.