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Finding the Fourth Proportional to 10,587.65, 14,610.16 and 5,806.82

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Solution

The fourth proportional to 10,587.65, 14,610.16 and 5,806.82 is: 8,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.65 : 14,610.16 = 5,806.82 : x
  2. Step 2: Convert to fraction form
    10,587.65/14,610.16 = 5,806.82/x
  3. Step 3: Cross multiply
    10,587.65x = 14,610.16 × 5,806.82
  4. Step 4: Simplify right side
    10,587.65x = 84,838,580.41
  5. Step 5: Solve for x
    x = 84,838,580.41/10,587.65
  6. Step 6: Final answer
    x = 8,012.98

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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.