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Finding the Fourth Proportional to 10,298.68, 14,212.08 and 5,582.98

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Solution

The fourth proportional to 10,298.68, 14,212.08 and 5,582.98 is: 7,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.68 : 14,212.08 = 5,582.98 : x
  2. Step 2: Convert to fraction form
    10,298.68/14,212.08 = 5,582.98/x
  3. Step 3: Cross multiply
    10,298.68x = 14,212.08 × 5,582.98
  4. Step 4: Simplify right side
    10,298.68x = 79,345,758.40
  5. Step 5: Solve for x
    x = 79,345,758.40/10,298.68
  6. Step 6: Final answer
    x = 7,704.46

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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.