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Finding the Fourth Proportional to 10,807.16, 14,926.18 and 7,264.22

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Solution

The fourth proportional to 10,807.16, 14,926.18 and 7,264.22 is: 10,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.16 : 14,926.18 = 7,264.22 : x
  2. Step 2: Convert to fraction form
    10,807.16/14,926.18 = 7,264.22/x
  3. Step 3: Cross multiply
    10,807.16x = 14,926.18 × 7,264.22
  4. Step 4: Simplify right side
    10,807.16x = 108,427,055.28
  5. Step 5: Solve for x
    x = 108,427,055.28/10,807.16
  6. Step 6: Final answer
    x = 10,032.89

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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.