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Finding the Fourth Proportional to 10,295.33, 15,429.08 and 7,508.93

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Solution

The fourth proportional to 10,295.33, 15,429.08 and 7,508.93 is: 11,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.33 : 15,429.08 = 7,508.93 : x
  2. Step 2: Convert to fraction form
    10,295.33/15,429.08 = 7,508.93/x
  3. Step 3: Cross multiply
    10,295.33x = 15,429.08 × 7,508.93
  4. Step 4: Simplify right side
    10,295.33x = 115,855,823.31
  5. Step 5: Solve for x
    x = 115,855,823.31/10,295.33
  6. Step 6: Final answer
    x = 11,253.25

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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.