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Finding the Fourth Proportional to 10,569.90, 15,841.06 and 5,889.72

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Solution

The fourth proportional to 10,569.90, 15,841.06 and 5,889.72 is: 8,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.90 : 15,841.06 = 5,889.72 : x
  2. Step 2: Convert to fraction form
    10,569.90/15,841.06 = 5,889.72/x
  3. Step 3: Cross multiply
    10,569.90x = 15,841.06 × 5,889.72
  4. Step 4: Simplify right side
    10,569.90x = 93,299,407.90
  5. Step 5: Solve for x
    x = 93,299,407.90/10,569.90
  6. Step 6: Final answer
    x = 8,826.90

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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.