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Finding the Fourth Proportional to 10,302.80, 15,421.80 and 7,386.80

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Solution

The fourth proportional to 10,302.80, 15,421.80 and 7,386.80 is: 11,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.80 : 15,421.80 = 7,386.80 : x
  2. Step 2: Convert to fraction form
    10,302.80/15,421.80 = 7,386.80/x
  3. Step 3: Cross multiply
    10,302.80x = 15,421.80 × 7,386.80
  4. Step 4: Simplify right side
    10,302.80x = 113,917,752.24
  5. Step 5: Solve for x
    x = 113,917,752.24/10,302.80
  6. Step 6: Final answer
    x = 11,056.97

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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.