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Finding the Fourth Proportional to 10,499.16, 14,488.39 and 5,719.12

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Solution

The fourth proportional to 10,499.16, 14,488.39 and 5,719.12 is: 7,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.16 : 14,488.39 = 5,719.12 : x
  2. Step 2: Convert to fraction form
    10,499.16/14,488.39 = 5,719.12/x
  3. Step 3: Cross multiply
    10,499.16x = 14,488.39 × 5,719.12
  4. Step 4: Simplify right side
    10,499.16x = 82,860,841.02
  5. Step 5: Solve for x
    x = 82,860,841.02/10,499.16
  6. Step 6: Final answer
    x = 7,892.14

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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.