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Finding the Fourth Proportional to 10,624.10, 15,918.42 and 7,498.98

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Solution

The fourth proportional to 10,624.10, 15,918.42 and 7,498.98 is: 11,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.10 : 15,918.42 = 7,498.98 : x
  2. Step 2: Convert to fraction form
    10,624.10/15,918.42 = 7,498.98/x
  3. Step 3: Cross multiply
    10,624.10x = 15,918.42 × 7,498.98
  4. Step 4: Simplify right side
    10,624.10x = 119,371,941.33
  5. Step 5: Solve for x
    x = 119,371,941.33/10,624.10
  6. Step 6: Final answer
    x = 11,235.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.