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Finding the Fourth Proportional to 10,090.17, 13,925.22 and 6,111.65

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Solution

The fourth proportional to 10,090.17, 13,925.22 and 6,111.65 is: 8,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.17 : 13,925.22 = 6,111.65 : x
  2. Step 2: Convert to fraction form
    10,090.17/13,925.22 = 6,111.65/x
  3. Step 3: Cross multiply
    10,090.17x = 13,925.22 × 6,111.65
  4. Step 4: Simplify right side
    10,090.17x = 85,106,082.71
  5. Step 5: Solve for x
    x = 85,106,082.71/10,090.17
  6. Step 6: Final answer
    x = 8,434.55

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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.