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Finding the Fourth Proportional to 10,534.61, 15,806.52 and 6,152.09

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Solution

The fourth proportional to 10,534.61, 15,806.52 and 6,152.09 is: 9,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.61 : 15,806.52 = 6,152.09 : x
  2. Step 2: Convert to fraction form
    10,534.61/15,806.52 = 6,152.09/x
  3. Step 3: Cross multiply
    10,534.61x = 15,806.52 × 6,152.09
  4. Step 4: Simplify right side
    10,534.61x = 97,243,054.59
  5. Step 5: Solve for x
    x = 97,243,054.59/10,534.61
  6. Step 6: Final answer
    x = 9,230.81

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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.